Relevant bibliographies by topics / Turing instability

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Turing instability'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 March 2023

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Journal articles on the topic "Turing instability"

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Anma, Atsushi, Kunimochi Sakamoto, and Tohru Yoneda. "Unstable subsystems cause Turing instability." Kodai Mathematical Journal 35, no. 2 (June 2012): 215–47. http://dx.doi.org/10.2996/kmj/1341401049.

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Guiu-Souto, Jacobo, Lisa Michaels, Alexandra von Kameke, Jorge Carballido-Landeira, and Alberto P. Muñuzuri. "Turing instability under centrifugal forces." Soft Matter 9, no. 17 (2013): 4509. http://dx.doi.org/10.1039/c3sm27624d.

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Chen, Mengxin, Ranchao Wu, and Liping Chen. "Pattern Dynamics in a Diffusive Gierer–Meinhardt Model." International Journal of Bifurcation and Chaos 30, no. 12 (September 30, 2020): 2030035. http://dx.doi.org/10.1142/s0218127420300359.

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The purpose of the present paper is to investigate the pattern formation and secondary instabilities, including Eckhaus instability and zigzag instability, of an activator–inhibitor system, known as the Gierer–Meinhardt model. Conditions on the Hopf bifurcation and the Turing instability are obtained through linear stability analysis at the unique positive equilibrium. Then, the method of weakly nonlinear analysis is used to derive the amplitude equations. Especially, by adding a small disturbance to the Turing instability critical wave number, the spatiotemporal Newell–Whitehead–Segel equation of the stripe pattern is established. It is found that Eckhaus instability and zigzag instability may occur under certain conditions. Finally, Turing and non-Turing patterns are obtained via numerical simulations, including spotted patterns, mixed patterns, Eckhaus patterns, spatiotemporal chaos, nonconstant steady state solutions, spatially homogeneous periodic solutions and spatially inhomogeneous solutions in two-dimensional or one-dimensional space. Theoretical analysis and numerical results are in good agreement for this diffusive Gierer–Meinhardt model.
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XU, L., L. J. ZHAO, Z. X. CHANG, J. T. FENG, and G. ZHANG. "TURING INSTABILITY AND PATTERN FORMATION IN A SEMI-DISCRETE BRUSSELATOR MODEL." Modern Physics Letters B 27, no. 01 (November 26, 2012): 1350006. http://dx.doi.org/10.1142/s0217984913500061.

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In this paper, a semi-discrete Brusselator system is considered. The Turing instability theory analysis will be given for the model, then Turing instability conditions can be deduced combining linearization method and inner product technique. A series of numerical simulations of the system are performed in the Turing instability region, various patterns such as square, labyrinthine, spotlike patterns, can be exhibited. The impact of the system parameters and diffusion coefficients on patterns can also observed visually.
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Cai, Yongli, Shuling Yan, Hailing Wang, Xinze Lian, and Weiming Wang. "Spatiotemporal Dynamics in a Reaction–Diffusion Epidemic Model with a Time-Delay in Transmission." International Journal of Bifurcation and Chaos 25, no. 08 (July 2015): 1550099. http://dx.doi.org/10.1142/s0218127415500996.

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In this paper, we investigate the effects of time-delay and diffusion on the disease dynamics in an epidemic model analytically and numerically. We give the conditions of Hopf and Turing bifurcations in a spatial domain. From the results of mathematical analysis and numerical simulations, we find that for unequal diffusive coefficients, time-delay and diffusion may induce that Turing instability results in stationary Turing patterns, Hopf instability results in spiral wave patterns, and Hopf–Turing instability results in chaotic wave patterns. Our results well extend the findings of spatiotemporal dynamics in the delayed reaction–diffusion epidemic model, and show that time-delay has a strong impact on the pattern formation of the reaction–diffusion epidemic model.
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Szili, L., and J. Tóth. "Necessary condition of the Turing instability." Physical Review E 48, no. 1 (July 1, 1993): 183–86. http://dx.doi.org/10.1103/physreve.48.183.

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Guo, Yan, and Hyung Ju Hwang. "Pattern formation (II): The Turing Instability." Proceedings of the American Mathematical Society 135, no. 09 (May 14, 2007): 2855–67. http://dx.doi.org/10.1090/s0002-9939-07-08850-8.

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Hoang, Tung, and Hyung Ju Hwang. "Turing instability in a general system." Nonlinear Analysis: Theory, Methods & Applications 91 (November 2013): 93–113. http://dx.doi.org/10.1016/j.na.2013.06.010.

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Meng, Lili, Yutao Han, Zhiyi Lu, and Guang Zhang. "Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model." Discrete Dynamics in Nature and Society 2019 (April 1, 2019): 1–9. http://dx.doi.org/10.1155/2019/9592878.

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In this paper, a discrete predator-prey system with the periodic boundary conditions will be considered. First, we get the conditions for producing Turing instability of the discrete predator-prey system according to the linear stability analysis. Then, we show that the discrete model has the flip bifurcation and Turing bifurcation under the critical parameter values. Finally, a series of numerical simulations are carried out in the Turing instability region of the discrete predator-prey model; some new Turing patterns such as striped, bar, and horizontal bar are observed.
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LI, AN-WEI, ZHEN JIN, LI LI, and JIAN-ZHONG WANG. "EMERGENCE OF OSCILLATORY TURING PATTERNS INDUCED BY CROSS DIFFUSION IN A PREDATOR–PREY SYSTEM." International Journal of Modern Physics B 26, no. 31 (December 4, 2012): 1250193. http://dx.doi.org/10.1142/s0217979212501937.

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In this paper, we presented a predator–prey model with self diffusion as well as cross diffusion. By using theory on linear stability, we obtain the conditions on Turing instability. The results of numerical simulations reveal that oscillating Turing patterns with hexagons arise in the system. And the values of the parameters we choose for simulations are outside of the Turing domain of the no cross diffusion system. Moreover, we show that cross diffusion has an effect on the persistence of the population, i.e., it causes the population to run a risk of extinction. Particularly, our results show that, without interaction with either a Hopf or a wave instability, the Turing instability together with cross diffusion in a predator–prey model can give rise to spatiotemporally oscillating solutions, which well enrich the finding of pattern formation in ecology.
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Dissertations / Theses on the topic "Turing instability"

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Soresina, C. "PREDATOR-PREY MODELS: BIFURCATIONS, CROSS-DIFFUSION AND TURING INSTABILITY." Doctoral thesis, Università degli Studi di Milano, 2017. http://hdl.handle.net/2434/489546.

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Questa tesi riguarda modelli differenziali preda-predatore, trattati inizialmente nel caso spazialmente omogeneo e successivamente considerando la diffusione spaziale. Dal punto di vista matematico pertanto vengono considerati sistemi di equazioni differenziali ordinarie e di equazioni differenziali alle derivate parziali di tipo parabolico. In particolare, nella prima parte viene studiato un modello preda-predatore spazialmente omogeneo, retto da due equazioni differenziali ordinarie, in cui sono presi in considerazione un effetto Allee forte nella crescita delle prede e una risposta funzionale predatore dipendente. Il punto di forza dello studio risiede nel fatto che le funzioni che descrivono questi processi non hanno un'espressione esplicita, ma sono caratterizzate solo da alcune proprietà comuni a funzioni specifiche utilizzate in letteratura. Tali proprietà sono sufficienti per effettuare l'analisi qualitativa del sistema, con riguardo all'esistenza degli equilibri e alle loro proprietà di stabilità mediante i criteri di Lyapunov, utilizzando due parametri di biforcazione che caratterizzano il processo di predazione. Il modello presenta dei punti di biforcazione di codimensione 2 quali una biforcazione Bogdanov-Takens e una di tipo cuspide, non legati alla particolare realizzazione scelta per le funzioni del modello. Lo studio è stato proseguito numericamente fissando un'espressione per la funzione di crescita delle prede e per la funzione trofica che soddisfano le proprietà considerate e utilizzando il software di continuazione Matcont per Matlab. Tale studio ha mostrato l'ulteriore presenza di biforcazioni globali che determinano la sparizione dei cicli limite, mediante la formazione di orbite omocline ed eterocline. Inoltre è stato individuato una biforcazione di Hopf generalizzata, un altro punto di biforcazione di codimensione 2. Le biforcazioni di codimensione 2 individuate sono tutte e sole quelle ammesse da un sistema a due equazioni differenziali. La seconda parte della tesi verte invece sullo studio di due sistemi preda-predatore con diffusione in cui vengono dedotte in un opportuno limite due tipi di risposte funzionali classiche come termine reattivo e un termine diffusivo non lineare. In dettaglio, vengono considerati due livelli trofici, le prede e i predatori. Questi ultimi sono suddivisi in due classi, searching predators e handling predators: i primi sono i predatori effettivamente impegnati nella predazione, mentre i secondi non sono attivi in tale processo. Ne deriva un sistema composto da tre equazioni differenziali alle derivate parziali, in cui la diffusione è modellizzata in modo classico, mediante un termine lineare in forma di Laplaciano e l'interazione tra prede e predatori è inizialmente del tipo Lotka-Volterra. Mediante una approssimazione quasi steady-state è possibile ridurre il sistema di partenza, ottenendo un sistema di due PDE, una per le prede e una per la totalità dei predatori, in cui la risposta funzionale è del tipo Holling-II, in particolare preda-dipendente, e che presenta una non-linearità nel termine di diffusione. Questa classe di modelli non dà luogo a instabilità di Turing. Viene quindi considerata nel modello a tre equazioni una competizione tra i predatori che permette di ricavare, mediante un'approssimazione quasi steady-state, un sistema preda-predatore con risposta funzionale del tipo Beddington-DeAngelis nel termine di reazione e ancora una non-linearità nel termine di diffusione. Vengono quindi ricavate condizioni sui parametri che permettono di avere instabilità di Turing e confrontati i risultati sia nel caso di diffusione lineare che in quello non-lineare.
Predator-prey models, homogeneous in space or with spatial diffusion, play a central role in this thesis. Indeed, from a mathematical view point, we investigate stability in systems of ordinary differential equations and of partial differential equations of parabolic type. First, we deal with a predator-prey model, described by a system of two ODEs, in which a strong Allee effect on the prey growth and a predator-dependent trophic function are taken into account. The main strength of this part is that these functions are not specified by analytical expressions, but only characterized by some biologically meaningful properties determining their shapes. On the basis of these properties we are able to perform the stability analysis of the system, using the predation efficiency and a measure of the predator interference as bifurcation parameters. The system admits codimension-two bifurcations points, such as a Bogdanov-Takens and a cusp point; it is worthwhile to notice that they are independent of the particular expression of the model functions. The numerical investigation is further carried on choosing for the model equations some analytical expressions well known in literature, which satisfied the assumed properties, and using Matcont, a continuation Matlab toolbox. This investigation, in addition, has shown the presence of global bifurcations that determine the disappearance of limit cycles through the formation of homoclinic and heteroclinic orbits involving some equilibrium points. Moreover, we have detected a further codimension-two bifurcation point, a Generalized-Hopf. Together with the cusp and the Bogdanov-Takens bifurcation points, these three types of codimension-two bifurcations are the only admissible by a planar system of ordinary differential equations. The second part of this thesis focuses on the study of two predator-prey models with diffusion that justify, in a suitable limit, two classical types of functional responses in the reaction part and present a cross-diffusion term. In detail, two trophic levels are considered, preys and predators which are further divided into searching predators and handling predators. The former are predators active in the predation process, the latter are resting individuals. Then, we start from a system of three partial differential equations, with a standard linear diffusion in terms of Laplacian, and with a Lotka-Volterra reaction term. Through a quasi steady-state approximation we end up with a system of two PDEs with prey and total predator densities as unknowns, in which an Holling-type II functional response appears together with a cross-diffusion term in the predator equation. It is proved that this class of predator-prey models can not give rise to Turing instability. Then we modify the starting model inserting a competition among predators. With this change we end up after a quasi steady-state approximation with a system of two PDEs for prey and total predator densities, characterized by a Beddington-DeAngelis-type functional response and a cross-diffusion term in the predator equation. We look for conditions on the parameters values which lead to Turing instability and we compare these Turing instability regions with the ones obtained when the cross-diffusion term is substituted by a linear diffusion.
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LUPO, Salvatore. "FORMAZIONE DI PATTERN PER IL PROCESSO DELL'ELETTRODEPOSIZIONE IN MODELLI DI TIPO REAZIONE-DIFFUSIONE." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/90863.

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Giunta, Valeria. "Aggregation, Spatio-Temporal Structures and Well-Posedness in Chemotaxis Models of Inflammatory Diseases." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4102.

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Inflammation is the body's immune response to outside threats and traumas, aiming to prevent the insurgence of diseases. Although it is a protective mechanism, a derangement of the inflammatory response can lead to severe and debilitating diseases, such as Multiple Sclerosis. For this reason, understanding the mechanisms driving an inflammatory response has become one of the biggest challenge in immunology. The subject of this Thesis is the study of mathematical models aiming to explore the mechanisms of the inflammatory response and the resulting clinical patterns. Our aim to prove that the proposed models, within biologically relevant ranges of the parameter values, are able to reproduce different pathological scenarios observed in patients.
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Ali, Naamat. "Dynamique spatio-temporelle et identification des diffusions non linéaires." Phd thesis, Université de La Rochelle, 2013. http://tel.archives-ouvertes.fr/tel-01066085.

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Cette thèse est consacrée à l'étude des systèmes d'équations différentielles ordinaires, et ceux aux dérivées partielles paraboliques issus de modèles de dynamique des populations et de la biologie. L'objectif principal est de faire l'analyse mathématique, la simulation numérique ainsi que l'identification des diffusions croisées dans les modèles construits. Nous présentons d'abord un système de réaction-diffusion modélisant la croissance de plantes en compétition spatiale dans un milieu saturé. Nous effectuons par la suite l'étude théorique et numérique de tels systèmes, ainsi que l'étude des problèmes d'identification des termes de diffusions croisées. Ensuite, nous proposons un modèle proie-prédateur de type Leslie-Gower modifié avec une fonction de réponse de type Crowley-Martin. Nous étudions dans un premier temps la dynamique temporelle globale du modèle considéré, et nous présentons des simulations numériques pour illustrer les résultats théoriques. En outre, nous introduisons la dimension spatiale dans le modèle dynamique considéré, et nous effectuons une analyse théorique complète de la dynamique spatio-temporelle du modèle.
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INFERRERA, Guglielmo. "From classical to operatorial models." Doctoral thesis, Università degli Studi di Palermo, 2023. https://hdl.handle.net/10447/580046.

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Mathematical models for the collective dynamics of interacting and spatially distributed populations find applications in several contexts (biology, ecology, social sciences). Their formulation depends primarily on the (continuous or discrete) description of the space. Reaction-diffusion equations have been widely used in bioecology (morphogenesis, migration of biological species, tumor growth, neuro-degenerative diseases) and in the social sciences (diffusion of opinions or decisionmaking processes), and exhibit complex behaviors (propagation of oscillatory phenomena, pattern formation caused by instability). A reaction–diffusion system exhibits diffusion-driven instability, sometimes called Turing instability, if the homogeneous steady state is stable to small perturbations in the absence of diffusion but unstable to small spatial perturbations when diffusion is present. In this thesis, we move from this classical approach, considering a so called crimo-taxis model (Epstein, 1997), and proposing two variants (Inferrera et al., 2022) enabling us to study the formation of some patterns due to instability driven by self- and cross-diffusion terms, to operatorial models built by means of some techniques typical of quantum mechanics (see Bagarello, 2012; Bagarello, 2019). The leading idea in this approach relies on the evidence, shown in the last fifteen years in several applications, that the operatorial framework provides useful tools for describing the interactions occurring within macroscopic systems. Therefore, three applications of the operatorial formalism are discussed: 1)an operatorial version of crimo-taxis model; 2)a model where two populations spatially distributed in a one–dimensional domain compete both locally and nonlocally and are able to migrate (Inferrera and Oliveri, 2022); 3) a model of a finite number of agents subjected both to cooperative and competitive interactions (Gorgone, Inferrera, and Oliveri, 2022).
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Zaker, Nazanin. "Population Dynamics In Patchy Landscapes: Steady States and Pattern Formation." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42279.

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Many biological populations reside in increasingly fragmented landscapes, which arise from human activities and natural causes. Landscape characteristics may change abruptly in space and create sharp transitions (interfaces) in landscape quality. How patchy landscape affects ecosystem diversity and stability depends, among other things, on how individuals move through the landscape. Individuals adjust their movement behaviour to local habitat quality and show preferences for some habitat types over others. In this dissertation, we focus on how landscape composition and the movement behaviour at an interface between habitat patches of different quality affects the steady states of a single species and a predator-prey system. First, we consider a model for population dynamics in a habitat consisting of two homogeneous one-dimensional patches in a coupled ecological reaction-diffusion equation. Several recent publications by other authors explored how individual movement behaviour affects population-level dynamics in a framework of reaction-diffusion systems that are coupled through discontinuous boundary conditions. The movement between patches is incorporated into the interface conditions. While most of those works are based on linear analysis, we study positive steady states of the nonlinear equations. We establish the existence, uniqueness and global asymptotic stability of the steady state, and we classify their qualitative shape depending on movement behaviour. We clarify the role of nonrandom movement in this context, and we apply our analysis to a previous result where it was shown that a randomly diffusing population in a continuously varying habitat can exceed the carrying capacity at steady state. In particular, we apply our results to study the question of why and under which conditions the total population abundance at steady state may exceed the total carrying capacity of the landscape. Secondly, we model population dynamics with a predator-prey system in a coupled ecological reaction-diffusion equation in a heterogeneous landscape to study Turing patterns that emerge from diffusion-driven instability (DDI). We derive the DDI conditions, which consist of necessary and sufficient conditions for initiation of spatial patterns in a one-dimensional homogeneous landscape. We use a finite difference scheme method to numerically explore the general conditions using the May model, and we present numerical simulations to illustrate our results. Then we extend our studies on Turing-pattern formation by considering a predator-prey system on an infinite patchy periodic landscape. The movement between patches is incorporated into the interface conditions that link the reaction-diffusion equations between patches. We use a homogenization technique to obtain an analytically tractable approximate model and determine Turing-pattern formation conditions. We use numerical simulations to present our results from this approximation method for this model. With this tool, we then explore how differential movement and habitat preference of both species in this model (prey and predator) affect DDI.
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Guttal, Vishwesha. "Applications of nonequilibrium statistical physics to ecological systems." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1209696541.

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Gadeborg, Josefine. "Politisk Instabilitet och Turism : Vad händer när kontrollen försvinner?" Thesis, Umeå universitet, Institutionen för geografi och ekonomisk historia, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-73115.

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Bennett, James Edward Matthew. "Pattern formation in neural circuits by the interaction of travelling waves with spike-timing dependent plasticity." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:29387080-4213-4179-98b6-bf3d4c49dd00.

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Spontaneous travelling waves of neuronal activity are a prominent feature throughout the developing brain and have been shown to be essential for achieving normal function, but the mechanism of their action on post-synaptic connections remains unknown. A well-known and widespread mechanism for altering synaptic strengths is spike-timing dependent plasticity (STDP), whereby the temporal relationship between the pre- and post-synaptic spikes determines whether a synapse is strengthened or weakened. Here, I answer the theoretical question of how these two phenomenon interact: what types of connectivity patterns can emerge when travelling waves drive a downstream area that implements STDP, and what are the critical features of the waves and the plasticity rules that shape these patterns? I then demonstrate how the theory can be applied to the development of the visual system, where retinal waves are hypothesised to play a role in the refinement of downstream connections. My major findings are as follows. (1) Mathematically, STDP translates the correlated activity of travelling waves into coherent patterns of synaptic connectivity; it maps the spatiotemporal structure in waves into a spatial pattern of synaptic strengths, building periodic structures into feedforward circuits. This is analogous to pattern formation in reaction diffusion systems. The theory reveals a role for the wave speed and time scale of the STDP rule in determining the spatial frequency of the connectivity pattern. (2) Simulations verify the theory and extend it from one-dimensional to two-dimensional cases, and from simplified linear wavefronts to more complex realistic and noisy wave patterns. (3) With appropriate constraints, these pattern formation abilities can be harnessed to explain a wide range of developmental phenomena, including how receptive fields (RFs) in the visual system are refined in size and topography and how simple-cell and direction selective RFs can develop. The theory is applied to the visual system here but generalises across different brain areas and STDP rules. The theory makes several predictions that are testable using existing experimental paradigms.
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Wang, Jian. "From local to global: Complex behavior of spatiotemporal systems with fluctuating delay times." Doctoral thesis, Universitätsbibliothek Chemnitz, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-133734.

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The aim of this thesis is to investigate the dynamical behaviors of spatially extended systems with fluctuating time delays. In recent years, the study of spatially extended systems and systems with fluctuating delays has experienced a fast growth. In ubiquitous natural and laboratory situations, understanding the action of time-delayed signals is a crucial for understanding the dynamical behavior of these systems. Frequently, the length of the delay is found to change with time. Spatially extended systems are widely studied in many fields, such as chemistry, ecology, and biology. Self-organization, turbulence, and related nonlinear dynamic phenomena in spatially extended systems have developed into one of the most exciting topics in modern science. The first part of this thesis considers the discrete system. Diffusively coupled map lattices with a fluctuating delay are used in the study. The uncoupled local dynamics of the considered system are represented by the delayed logistic map. In particular, the influences of diffusive coupling and fluctuating delay are studied. To observe and understand the influences, the results for the considered system are compared with coupled map lattices without delay and with a constant delay as well as with the uncoupled logistic map with fluctuating delays. Identifying different patterns, determining the existence of traveling wave solutions, and specifying the fully synchronized stable state are the focus of this part of the study. The Lyapunov exponent, the master stability function, spectrum analysis, and the structure factor are used to characterize the different states and the transitions between them. The second part examines the continuous system. The delay is introduced into the reactionterm of the Fisher-KPP equation. The focus of this part of study is the time-delay-induced Turing instability in one-component reaction-diffusion systems. Turing instability has previously only been found in multiple-component reaction-diffusion systems. However, this work demonstrates with the help of the stability exponent that fluctuating delay can result in Turing instability in one-component reaction-diffusion systems as well
Ziel der vorliegenden Arbeit ist die Untersuchung der Einflüsse der zeitlich fluktuierenden Verzögerungen in räumlich ausgedehnten diffusiven Systemen. Durch den Vergleich von Systemen mit konstanter Verzögerung bzw. Systemen ohne räumliche Kopplung erhält man ein tieferes Verständnis und eine bessere Beschreibungsweise der Dynamik des räumlich ausgedehnten diffusiven Systems mit fluktuierenden Verzögerungen. Im ersten Teil werden diskrete Systeme in Form von diffusiven Coupled Map Lattices untersucht. Als die lokale iterierte Abbildung des betrachteten Systems wird die logistische Abbildung mit Verzögerung gewählt. In diesem Teil liegt der Fokus auf Musterbildung, Existenz von Multiattraktoren und laufenden Wellen sowie der Möglichkeit der vollen Synchronisation. Masterstabilitätsfunktion, Lyapunov Exponent und Spektrumsanalyse werden benutzt, um das dynamische Verhalten zu verstehen. Im zweiten Teil betrachten wir kontinuierliche Systeme. Hier wird die Fisher-KPP Gleichung mit Verzögerungen im Reaktionsteil untersucht. In diesem Teil liegt der Fokus auf der Existenz der Turing Instabilität. Mit Hilfe von analytischen und numerischen Berechnungen wird gezeigt, dass bei fluktuierenden Verzögerungen eine Turing Instabilität auch in 1-Komponenten-Reaktions-Diffusionsgleichungen gefunden werden kann
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Books on the topic "Turing instability"

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National Aeronautics and Space Administration (NASA) Staff. Adaptive Instability Suppression Controls Method for Aircraft Gas Turbine Engine Combustors. Independently Published, 2019.

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Eyre, Lorna, and Simon Whiteley. In-hospital transfer of the critically ill. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199600830.003.0004.

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While focus has traditionally been on the planning, logistics, and outcome of inter-hospital transfers of the critically-ill patient, attention is turning to in-hospital transfers. Numerically, more in-hospital transfers occur and there is growing evidence that these are associated with a high incidence of adverse events, and increased morbidity and mortality. Appropriate planning, communication, and preparation are essential. Patients should be resuscitated and stabilized (optimized) prior to transfer, to prevent deterioration or instability during transfer. Endotracheal tubes and vascular access devices should be secure. The minimum recommended standards of monitoring should be applied. All drugs and equipment likely to be required during the transfer should be checked and available. Critically-ill patients should be accompanied by personnel with the appropriate knowledge skills and experience to carry out the transfer safely and to deal with any complications or incidents that arise.
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Watson-Gegeo, Karen Ann, David W. Gegeo, and Billy Fito'o. Critical Community Language Policies in Education. Edited by James W. Tollefson and Miguel Pérez-Milans. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780190458898.013.20.

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This chapter first offers an overview of critical community language policy and planning in education (CCLPE). It provides an example of CCLPE, focusing on Malaita in the wake of the Tenson (ethnic conflict) between Guadalcanal and Malaita in Solomon Islands (SI) (1998–2007). The authors contextualize their analysis by tracing the turning points for LPP in SI history, and discuss implications of the SI case for CCLPE and the future of SI education. The analysis focuses on local processes of uncertainty and instability in times of rapid social change that undermine community faith in the nation-state. The chapter shows that indigenous communities have learned that they can exert their agency to shape LPP from the bottom up, and that the shaping must be grounded in indigenous language(s) and culture(s). This argument is consistent with the call for epistemological and ontological diversity in development theory, education, and related studies.
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Zeitlin, Vladimir. Rotating Shallow-Water model with Horizontal Density and/or Temperature Gradients. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0014.

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The derivation of rotating shallow-water equations by vertical averaging and columnar motion hypothesis is repeated without supposing horizontal homogeneity of density/potential temperature. The so-called thermal rotating shallow-water model arises as the result. The model turns to be equivalent to gas dynamics with a specific equation of state. It is shown that it possesses Hamiltonian structure and can be derived from a variational principle. Its solution at low Rossby numbers should obey the thermo-geostrophic equilibrium, replacing the standard geostrophic equilibrium. The wave spectrum of the model is analysed, and the appearance of a whole new class of vortex instabilities of convective type, resembling asymmetric centrifugal instability and leading to a strong mixing at nonlinear stage, is demonstrated.
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Image, Isabella. Constraint (2): Thoughts and Passions. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198806646.003.0007.

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In common with others, Hilary sees passions or emotions as causing instability (mutabilitas), which prevents human action from being purely rational. In the Psalms commentaries (but not elsewhere) he suggests we cannot control our thoughts (cogitationes) which then might lead to destructive passions. This seems to be a translation of Origen’s (dia)logismoi, which in turn is related to a Stoic concept. The literature is assessed, concluding that the cogitationes should not be considered as Stoic pre-passions (propatheiai) but as impressions, an earlier step in the mental processes leading to action. Hilary is ambiguous on whether we are morally responsible for our thoughts, but certainly disagrees with the idea that a Christian should strive for apatheia or impassibility.
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Celestini, Federico. Gustav Mahler and the Aesthetics of De-Identification. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199316090.003.0013.

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Mahler’s music offers the opportunity for an enrichment of the unilateral identity paradigm in musicological research through the concept of cultural and aesthetic hybridity. This chapter addresses the plurality of idioms, styles, and voices in Gustav Mahler’s music in the context of the cultural and linguistic heterogeneity which characterises Vienna at the turn of the century. Analytical categories are proposed that are able to serve the plurality and hybridity in Mahler’s music; relevant passages in his work are discussed according to these categories: 1. tragic breakdown (of the musical subject); 2. grotesque destabilisation; 3. alienated sound; 4. plurality of voices; 5. metamorphosis and mimesis; 6. thematic instability; 7. hybridity of genres and forms; 8. eclipses of the author
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Menz, Georg. The Political Economy of Debt. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199579983.003.0006.

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The explosive rise in not just public, but also private debt has recently attracted more scholarly attention. This is a novel development and might expose politico-economic models of governance to instability from an angle previously underappreciated. The liberalization of credit access in the Anglo-American countries, and, somewhat later, beyond those, might be seen as liberating for some, but they also create the potential for entrapment in debt. The term ‘privatized Keynesianism’ has been proposed to suggest a systematic agenda behind the facilitated access to lending. In this chapter, the broader access to investment vehicles is also being scrutinized, although upon closer inspection any claims of mass ownership of shares turn out not to be tenable.
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Tapsell, Grant. Religion and the Government of the Later Stuarts. Edited by Andrew Hiscock and Helen Wilcox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199672806.013.8.

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This chapter emphasizes the centrality of religious debates and disagreements to the conduct of government under the later Stuarts. The consequences of a narrowly intolerant Church ‘settlement’ in 1662 interacted with the longer-term complexities of the post-Reformation English church-state to ensure considerable instability in public life. After a summary discussion of modern historiography, the chapter turns to examine conflicting ideas of toleration and uniformity in the Restoration period. Attention then shifts to the structures of political life: Royal Supremacy, Parliamentary affairs, the institutional Church, and successive governing ministries. Finally, the chapter examines the central role religion played within the information culture of later seventeenth-century England, especially printed literature. Attention is drawn to the ways in which different religious perspectives powerfully inflected discussions of good government.
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Keymer, Thomas. The Subjective Turn. Edited by David Duff. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780199660896.013.20.

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Central to Charles Taylor’s account of secular modernity, in which divinely guaranteed truth gives way to the personal and human, is ‘the massive subjective turn … in which we come to think of ourselves as beings with inner depths’. This chapter approaches the ‘subjective turn’ of Romantic literature by way of its philosophical and literary antecedents in the eighteenth century, emphasizing the instability or inscrutability of personal identity as conceived in Hume, Sterne, and the emergent genre of autobiography. The most powerful autobiographies of the Romantic era—if we include such generically complex cases as The Prelude and Biographia Literaria—inherit and develop a Shandean sense of the problematics of their own enterprise. Yet their fascination with the processes of cognition, and more broadly with mental operations, conscious or unconscious, also bears the mark of more recent psychological discourses; they articulate a new sense of subjectivity as constituted by the creative perceptual activity of imagination.
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Benjamin L, Berger. Part V Rights and Freedoms, B Rights and Freedoms under the Charter, Ch.36 Freedom of Religion. Oxford University Press, 2017. http://dx.doi.org/10.1093/law/9780190664817.003.0036.

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This chapter examines freedom of religion in the Canadian Constitution. After locating the modern protection of freedom of religion within Canadian constitutional history, the chapter explores the Supreme Court of Canada’s interpretation of that right, drawing particular attention to how constitutional law defines and understands religion itself. The chapter then turns to three themes that have emerged as central in the freedom of religion jurisprudence, but that also reflect broader issues within Canadian constitutionalism: the instability of the public/private divide as a means of analysing constitutional problems, the tension between individual rights and regard for collective and community interests, and the paradoxes involved in the aspiration for state neutrality. Ultimately, the chapter argues that freedom of religion offers a unique avenue into understanding the deeper themes, tensions, ideologies, and politics at work in the Canadian state, as well as the history and logic of its constitutional order.
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Book chapters on the topic "Turing instability"

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Perthame, Benoît. "Linear Instability, Turing Instability and Pattern Formation." In Lecture Notes on Mathematical Modelling in the Life Sciences, 117–43. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19500-1_7.

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Walgraef, Daniel. "The Turing Instability and Associated Spatial Structures." In Partially Ordered Systems, 87–106. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1850-0_6.

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Rodrigues, Daiana, Luis Paulo Barra, Marcelo Lobosco, and Flávia Bastos. "Analysis of Turing Instability for Biological Models." In Computational Science and Its Applications – ICCSA 2014, 576–91. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09153-2_43.

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Egaña Fernández, Giani, J. Sarría González, and Mariano Rodríguez Ricard. "“Strong” Turing-Hopf Instability for Reaction-Diffusion Systems." In Springer Proceedings in Mathematics & Statistics, 137–58. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-05657-5_9.

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Ke, Yuanyuan, Jing Li, and Yifu Wang. "Density-Suppressed Motility System." In Financial Mathematics and Fintech, 275–339. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3763-7_5.

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AbstractThe reaction–diffusion models can reproduce a wide variety of exquisite spatio-temporal patterns arising in embryogenesis, development and population dynamics due to the diffusion-driven (Turing) instability [102, 162].
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Singh, Teekam, Shivam, Mukesh Kumar, and Vrince Vimal. "Pattern Dynamics of Prey–Predator Model with Swarm Behavior via Turing Instability and Amplitude Equation." In Advances in Intelligent Systems and Computing, 275–85. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9953-8_24.

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Schneider, Guido, and Dominik Zimmermann. "The Turing Instability in Case of an Additional Conservation Law—Dynamics Near the Eckhaus Boundary and Open Questions." In Patterns of Dynamics, 28–43. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64173-7_3.

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Cortadi, Alberto Jimenez, Fernando Boto, Itziar Irigoien, Basilio Sierra, and Alfredo Suarez. "Instability Detection on a Radial Turning Process for Superalloys." In International Joint Conference SOCO’17-CISIS’17-ICEUTE’17 León, Spain, September 6–8, 2017, Proceeding, 247–55. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67180-2_24.

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Bindseil, Ulrich, and Alessio Fotia. "Financial Instability." In Introduction to Central Banking, 67–78. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70884-9_5.

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AbstractIn this chapter, the central bank is put aside and we review simple models of financial instability, which will be the basis for the subsequent chapter to explain the role of the central bank as lender of last resort. We first recall that financial instability is mostly triggered by a negative shock on asset prices, and thereby on the solvency of debtors, which in turn worsens access to credit and can set in motion a liquidity crisis with vicious circles. We develop the concepts of solvency “conditional” and “unconditional” on liquidity: a decline in asset prices can lead an unconditionally solvent debtor to become only conditionally solvent, such that sufficient liquidity becomes decisive for preventing its default. We then apply these concepts to the stability of bank funding and introduce the problem of bank runs. We subsequently show why asset liquidity in a dealer market deteriorates during a financial crisis (increased volatility and uncertainty increase the required bid-ask spread); how asymmetric information can lead to a freeze of credit markets in a simple adverse selection model; how declining and more volatile asset prices drive increases of haircut, and how these can force fire sales and defaults of borrowers. We finally discuss the interaction between these various crisis channels.
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Fiedler, Bernold. "Romeo und Julia, spontane Musterbildung und Turings Instabilität." In Alles Mathematik, 77–95. Wiesbaden: Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-91598-6_6.

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Conference papers on the topic "Turing instability"

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Huang, J. G., J. M. Christian, G. S. McDonald, P. Chamorro-Posada, and J. Jahanpanah. "From Turing Instability to Fractals." In Nonlinear Photonics. Washington, D.C.: OSA, 2007. http://dx.doi.org/10.1364/np.2007.ntha7.

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GENTILE, M., and A. TATARANNI. "TURING INSTABILITY FOR THE SCHNACKENBERG SYSTEM." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0043.

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Temmyo, Jiro, and Toshiaki Tamamura. "Semiconductor Nanostructures Self-Organized by the Turing Instability." In 1997 International Conference on Solid State Devices and Materials. The Japan Society of Applied Physics, 1997. http://dx.doi.org/10.7567/ssdm.1997.b-10-2.

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Hori, Yutaka, and Hiroki Miyazako. "Semidefinite programming for Turing instability analysis in molecular communication networks." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9029976.

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Xu, Li, and Xiang-Mei Zhang. "Turing instability for a discrete single species Lotka-Volterra system." In 2012 International Symposium on Instrumentation & Measurement, Sensor Network and Automation (IMSNA). IEEE, 2012. http://dx.doi.org/10.1109/msna.2012.6324626.

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Bostock, C., J. M. Christian, G. S. McDonald, A. S. Heyes, and J. G. Huang. "Multi-Turing Instability and Spontaneous Spatial Fractals in Simple Optical Systems." In Nonlinear Optics. Washington, D.C.: OSA, 2013. http://dx.doi.org/10.1364/nlo.2013.nth2a.3.

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Zhang, Mingyue, Min Xiao, Rong Qian, Rong Fang, and Jian Li. "Stability Analysis and Turing Instability of A SIR Model with Reaction - Diffusion." In 2021 33rd Chinese Control and Decision Conference (CCDC). IEEE, 2021. http://dx.doi.org/10.1109/ccdc52312.2021.9601459.

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Meng, Yan, Guangwu Wen, and Lequan Min. "Hopf bifurcation and Turing instability in a modified Leslie-Gower prey-predator model." In 2013 7th International Conference on Systems Biology (ISB). IEEE, 2013. http://dx.doi.org/10.1109/isb.2013.6623798.

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Bozzini, Benedetto, Deborah Lacitignola, Ivonne Sgura, Theodore E. Simos, and George Maroulis. "Turing Instability in an Electrodeposition Morphogenesis Model: An Analytical, Numerical and Experimental Study." In COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Theory and Computation: Old Problems and New Challenges. Lectures Presented at the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007): VOLUME 1. AIP, 2007. http://dx.doi.org/10.1063/1.2836113.

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Chen, Shi, Min Xiao, Yunxiang Lu, Shuai Zhou, and Gong Chen. "Turing Instability of Malware Spreading Model with Reaction-diffusion in Cyber-physical System." In 2021 33rd Chinese Control and Decision Conference (CCDC). IEEE, 2021. http://dx.doi.org/10.1109/ccdc52312.2021.9602316.

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Reports on the topic "Turing instability"

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Theofilis, Vassilios, Nadir Abdessemed, and Spencer J. Sherwin. Global Instability and Control of Low-Pressure Turbine Flows. Fort Belvoir, VA: Defense Technical Information Center, March 2006. http://dx.doi.org/10.21236/ada450947.

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James L Crisp. Tevatron stripline turn by turn data and the head-tail instability. Office of Scientific and Technical Information (OSTI), December 2002. http://dx.doi.org/10.2172/805561.

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Sharp, Nathan, Rebecca Cutting, and Drew Sommer. Thermal Instability in the Manufacturing of Wind Turbine Blade Spar Caps. Office of Scientific and Technical Information (OSTI), June 2020. http://dx.doi.org/10.2172/1633432.

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Huang, Cheng, Rohan Gejji, William E. Anderson, and Venkateswaran Sankaran. Effects of Fuel Spray Modeling on Combustion Instability Predictions in a Single-Element Lean Direct Injection (LDI) Gas Turbine Combustor. Fort Belvoir, VA: Defense Technical Information Center, September 2014. http://dx.doi.org/10.21236/ada623017.

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TOTROVA, Z. H. THE TOPIC OF OBJECTIVITY OF KNOWLEDGE AS A SOCIOCULTURAL PROBLEM. Science and Innovation Center Publishing House, April 2022. http://dx.doi.org/10.12731/2077-1770-2021-14-1-3-14-21.

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The actualization of this topic is explained by modern information technologies, which center the question of knowledge, as such, before its practical application. The purpose of the article is to analyze the topic of objectivity of knowledge, as a sociocultural problem, involving consideration of the relationship of various forms of skepticism with the sociocultural context. Research methods are philosophical and general logical. Research results. Pyrrhonian skepticism reflects the personal, socio-political and economic crisis of the Hellenistic era. The complete and consistent development of the views of extreme skeptics in practice turns into an apology for force or chaos. The time of M. Montaigne is characterized by the conjugation of historical optimism with paradigm instability, the struggle of ideas and socio-cultural structures for the right to exist. Hence the appeal to the subject, as to the basis that determines the stability of social and personal existence.
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Cook, Joshua, Laura Ray, and James Lever. Dynamics modeling and robotic-assist, leader-follower control of tractor convoys. Engineer Research and Development Center (U.S.), February 2022. http://dx.doi.org/10.21079/11681/43202.

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This paper proposes a generalized dynamics model and a leader-follower control architecture for skid-steered tracked vehicles towing polar sleds. The model couples existing formulations in the literature for the powertrain components with the vehicle-terrain interaction to capture the salient features of terrain trafficability and predict the vehicles response. This coupling is essential for making realistic predictions of the vehicles traversing capabilities due to the power-load relationship at the engine output. The objective of the model is to capture adequate fidelity of the powertrain and off-road vehicle dynamics while minimizing the computational cost for model based design of leader-follower control algorithms. The leader-follower control architecture presented proposes maintaining a flexible formation by using a look-ahead technique along with a way point following strategy. Results simulate one leader-follower tractor pair where the leader is forced to take an abrupt turn and experiences large oscillations of its drawbar arm indicating potential payload instability. However, the follower tractor maintains the flexible formation but keeps its payload stable. This highlights the robustness of the proposed approach where the follower vehicle can reject errors in human leader driving.
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RESEARCH ON DYNAMIC LOAD CARRYING CAPACITY OF ASSEMBLED INTERNAL STIFFENING WIND TURBINE TOWER BASED ON MULTI-SCALE MODELING. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.513.

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"The development of wind power technology requires higher and larger wind turbines, which requires the bearing tower to increase its height and diameter. The assembled internal stiffened wind turbine tower divides the tower into multiple arc plates along the longitudinal direction, which can be easy transported to the site for assembly. That can solve the problem of height limit in highway transportation. At the same time, the internal stiffener provides better stability and can replace the bottom tower section of conventional wind turbine tower. In this study, the tower section of assembled internal stiffened wind turbine is modeled, and the longitudinal segmented tower section is assembled to the actual full-scale tower section model for nonlinear dynamic analysis. The influence of weld is considered by multi-scale modeling, combined with the plastic damage theory of steel materials. The whole collapse process of tower wall instability and deformation failure of wind turbine tower under the extreme wind condition is simulated, and the influence of various parameters of tower section on its bearing capacity is analysed. The damage position and damage development during tower collapse are predicted by using plastic damage theory, so as to provide reference for the design of assembled internally stiffened wind turbine tower."
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RESEARCH ON DYNAMIC LOAD CARRYING CAPACITY OF ASSEMBLED INTERNAL STIFFENING WIND TURBINE TOWER BASED ON MULTI-SCALE MODELING. The Hong Kong Institute of Steel Construction, March 2023. http://dx.doi.org/10.18057/ijasc.2023.19.1.11.

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The development of wind power technology requires higher and larger wind turbines, which requires the bearing tower to increase its height and diameter. The assembled internal stiffened wind turbine tower divides the tower into multiple arc plates along the longitudinal direction, which can be easy transported to the site for assembly. That can solve the problem of height limit in highway transportation. At the same time, the internal stiffener provides better stability and can replace the bottom tower section of conventional wind turbine tower. In this study, the tower section of assembled internal stiffened wind turbine is modeled, and the longitudinal segmented tower section is assembled to the actual full-scale tower section model for nonlinear dynamic analysis. The influence of weld is considered by multi-scale modeling, combined with the plastic damage theory of steel materials. The whole collapse process of tower wall instability and deformation failure of wind turbine tower under the extreme wind condition is simulated, and the influence of various parameters of tower section on its bearing capacity is analysed. The damage position and damage development during tower collapse are predicted by using plastic damage theory, so as to provide reference for the design of assembled internally stiffened wind turbine tower.
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BUCKLING BEHAVIOUR OF THE STEEL PLATE IN STEEL – CONCRETE – STEEL SANDWICH COMPOSITE TOWER FOR WIND TURBINE. The Hong Kong Institute of Steel Construction, September 2022. http://dx.doi.org/10.18057/ijasc.2022.18.3.7.

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To solve the problem of collapses caused by local buckling of steel plates under compression in traditional steel towers, a novel steel-concrete-steel (SCS) sandwich composite tower for a wind turbine is proposed in this paper. To study the buckling behaviour of steel plates in SCS sandwich composite towers, six specimens were designed and tested under axial compression. The specimens were designed considering the key parameters of curvature radius, thickness of the steel plate, and the spacing-to-thickness ratio (the ratio of stud spacing to the thickness of steel plate). The failure modes, normalised average stress-strain curves and load-strain curves of the specimens were assessed, and the effects of the curvature radius and the spacing-to-thickness ratio of the steel plate were analysed. The experimental results showed that the buckling strength of the steel plate increased with a decrease in the ratio of the curvature radius to the thickness of the steel plate. The finite element (FE) model of the elastic buckling stress of the steel plate of the SCS sandwich composite tower was employed and validated against the test results. In parametric study, the effects of governing parameters including the curvature radius of the steel plate, thickness of the steel plate and spacing of the studs, on the effective length factors of the inner and outer steel plates were analysed. Subsequently, the design rules of the effective length factor of the inner and outer steel plates, and the design methods of spacing of studs to prevent local instability of the inner and outer steel plates before yielding were proposed.
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