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Dissertations / Theses on the topic 'Nonliear dynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Mendonça, Cleber Renato. "Dinâmica de não linearidades ópticas em macromoléculas e oligômeros." Universidade de São Paulo, 2000. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-16032005-100706/.

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Nesta tese estudamos a dinâmica das não linearidades ópticas em compostos orgânicos, mais especificamente em amostras de bis-ftalocianina de itérbio, derivados do álcool furfurílico e compostos azo-aromáticos. Para que a dinâmica dos processos ópticos não lineares pudesse ser investigada nesses materiais, desenvolvemos uma extensão experimental à técnica de varredura-Z convencional, denominada de varredura-Z com trem de pulsos. Nesta técnica, o trem de pulsos de um laser Q-switched/mode-locked é convenientemente empregado para o estudo da dinâmica de processos não lineares no intervalo

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2

Peng, Ji. "Synchronization in the second-order Kuramoto model." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2015. http://dx.doi.org/10.18452/17355.

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Synchonisation ist ein universelles Phänomen welches in den Natur- und Ingenieurwissenschaften, aber auch in Sozialsystemen vorkommt. Verschiedene Modellsysteme wurden zur Beschreibung von Synchronisation vorgeschlagen, wobei das Kuramoto-Modell das am weitesten verbreitete ist. Das Kuramoto-Modell zweiter Ordnung beschreibt eigenständige Phasenoszillatoren mit heterogenen Eigenfrequenzen, die durch den Sinus ihrer Phasendifferenzen gekoppelt sind, und wird benutzt um nichtlineare Dynamiken in Stromnetzen, Josephson-Kontakten und vielen anderen Systemen zu analysieren. Im Laufe der letzten Jah

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3

Hughes, Jonathan L. "Applications of Stability Analysis to Nonlinear Discrete Dynamical Systems Modeling Interactions." VCU Scholars Compass, 2015. http://scholarscompass.vcu.edu/etd/3819.

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Many of the phenomena studied in the natural and social sciences are governed by processes which are discrete and nonlinear in nature, while the most highly developed and commonly used mathematical models are linear and continuous. There are significant differences between the discrete and the continuous, the nonlinear and the linear cases, and the development of mathematical models which exhibit the discrete, nonlinear properties occurring in nature and society is critical to future scientific progress. This thesis presents the basic theory of discrete dynamical systems and stability analysis

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4

Mertig, Normann. "Complex Paths for Regular-to-Chaotic Tunneling Rates." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-125920.

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Tunneling is a fundamental effect of quantum mechanics, which allows waves to penetrate into regions that are inaccessible by classical dynamics. We study this phenomenon for generic non-integrable systems with a mixed phase space, where tunneling occurs between the classically separated phase-space regions of regular and chaotic motion. We derive a semiclassical prediction for the corresponding tunneling rates from the regular region to the chaotic sea. This prediction is based on paths which connect the regular and the chaotic region in complexified phase space. We show that these complex pa

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5

Sardanyés, i. Cayuela Josep. "Dynamics, evolution and information in nonlinear dynamical systems of replicators." Doctoral thesis, Universitat Pompeu Fabra, 2009. http://hdl.handle.net/10803/7182.

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En aquesta tesi he investigat diversos camps de la biologia que podrien englobar-se en la disciplina general dels sistemes no lineals de replicadors. Els treballs presentats en aquesta tesis investiguen diversos fenomens dinàmics i processos evolutius per virus de RNA, pels anomenats hipercicles i per models generals de replicadors antagonistes. Específicament he investigat les anomenades quasiespècies, utilitzades per a modelitzar poblacions de RNA. Els treballs sobre hipercicles exploren diversos fenomens previs a l'origen de la vida i a l'aparició de la primera cèl.lula vivent. Mitjançant m

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6

Sardanyés, Cayuela Josep. "Dynamics, evolution and information in nonlinear dynamical systems of replicators." Doctoral thesis, Universitat Pompeu Fabra, 2009. http://hdl.handle.net/10803/7182.

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En aquesta tesi he investigat diversos camps de la biologia que podrien englobar-se en la disciplina general dels sistemes no lineals de replicadors. Els treballs presentats en aquesta tesis investiguen diversos fenomens dinàmics i processos evolutius per virus de RNA, pels anomenats hipercicles i per models generals de replicadors antagonistes. Específicament he investigat les anomenades quasiespècies, utilitzades per a modelitzar poblacions de RNA. Els treballs sobre hipercicles exploren diversos fenomens previs a l'origen de la vida i a l'aparició de la primera cèl.lula vivent. Mitjançant m

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7

Ruiter, Julia. "Practical Chaos: Using Dynamical Systems to Encrypt Audio and Visual Data." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/scripps_theses/1389.

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Although dynamical systems have a multitude of classical uses in physics and applied mathematics, new research in theoretical computer science shows that dynamical systems can also be used as a highly secure method of encrypting data. Properties of Lorenz and similar systems of equations yield chaotic outputs that are good at masking the underlying data both physically and mathematically. This paper aims to show how Lorenz systems may be used to encrypt text and image data, as well as provide a framework for how physical mechanisms may be built using these properties to transmit encrypted wa

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8

Homer, Martin Edward. "Bifurcations and dynamics of piecewise smooth dynamical systems of arbitrary dimension." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299271.

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9

Hadraba, Petr. "Kmitání strojů v průmyslové praxi." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318140.

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The vibration analysis of a production machine is a key factor of its functionality, service life and occupational safety. This work deals with mathematical dynamic modelling and its contribution to the improvement of a mechanical design and mechanism failure prevention. The whole process is presented on the example of a drum cam rotary indexing table and on the example of actuators of multi spindle automatic lathes. The analysis consisted of complex nonlinear models based on basic linear models. It was computed using Matlab, Simulink and MSC ADAMS. Models of these mechanisms were validated wi

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10

Shin, Hyunkyoung. "Nonlinear cable dynamics." Thesis, Massachusetts Institute of Technology, 1987. http://hdl.handle.net/1721.1/14647.

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11

Marsden, Christopher J. "Nonlinear dynamics of pattern recognition and optimization." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/10694.

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We associate learning in living systems with the shaping of the velocity vector field of a dynamical system in response to external, generally random, stimuli. We consider various approaches to implement a system that is able to adapt the whole vector field, rather than just parts of it - a drawback of the most common current learning systems: artificial neural networks. This leads us to propose the mathematical concept of self-shaping dynamical systems. To begin, there is an empty phase space with no attractors, and thus a zero velocity vector field. Upon receiving the random stimulus, the ve

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12

Lazaryan, Shushan, Nika LAzaryan, and Nika Lazaryan. "Discrete Nonlinear Planar Systems and Applications to Biological Population Models." VCU Scholars Compass, 2015. http://scholarscompass.vcu.edu/etd/4025.

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We study planar systems of difference equations and applications to biological models of species populations. Central to the analysis of this study is the idea of folding - the method of transforming systems of difference equations into higher order scalar difference equations. Two classes of second order equations are studied: quadratic fractional and exponential. We investigate the boundedness and persistence of solutions, the global stability of the positive fixed point and the occurrence of periodic solutions of the quadratic rational equations. These results are applied to a class of line

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13

Kenwright, David A. "Nonlinear dynamics of anaesthesia." Thesis, Lancaster University, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538583.

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14

Chin, Char-Ming. "Problems in nonlinear dynamics." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06062008-165621/.

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15

Wu, Ye. "Nonlinear dynamics in complex networks and modeling human dynamics." Phd thesis, Universität Potsdam, 2010. http://opus.kobv.de/ubp/volltexte/2010/4735/.

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Durch große Datenmengen können die Forscher die Eigenschaften komplexer Systeme untersuchen, z.B. komplexe Netzwerk und die Dynamik des menschlichen Verhaltens. Eine große Anzahl an Systemen werden als große und komplexe Netzwerke dargestellt, z.B. das Internet, Stromnetze, Wirtschaftssysteme. Immer mehr Forscher haben großes Interesse an der Dynamik des komplexen Netzwerks. Diese Arbeit besteht aus den folgenden drei Teilen. Der erste Teil ist ein einfacher dynamischer Optimierungs-Kopplungs-Mechanismus, aber sehr wirksam. Durch den Mechanismus kann synchronisation in komplexen Netzwerken mit

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16

Öster, Michael. "Stability and Mobility of Localized and Extended Excitations in Nonlinear Schrödinger Models." Doctoral thesis, Linköpings universitet, Teoretisk Fysik, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-8091.

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This thesis is mainly concerned with the properties of some discrete nonlinear Schrödinger equations. These naturally arise in many different physical contexts as the limiting form of general dynamical lattice equations that incorporate nonlinearity and coupling. Interest is focused on theoretical models of coupled optical waveguides constructed from materials with a nonlinear index of refraction. In arrays of waveguides the overlap of the evanescent electric field of the modes in neighbouring waveguides provides a coupling and the nonlinearity of the material provides a mechanism to halt the

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17

Liu, Xunmimg. "Nonlinear dynamics in quantum optics /." St. Lucia, Qld, 2004. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe17835.pdf.

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18

Manzan, Sebastiano. "Essays in nonlinear economic dynamics." [Amsterdam : Amsterdam : Thela Thesis] ; Universiteit van Amsterdam [Host], 2003. http://dare.uva.nl/document/68437.

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19

Pointon, Craig T. "Nonlinear dynamics in telecommunication systems." Thesis, Staffordshire University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282553.

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20

Stocks, Nigel Geoffrey. "Experiments in stochastic nonlinear dynamics." Thesis, Lancaster University, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315224.

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21

Shiogai, Yuri. "Nonlinear dynamics of cardiovascular aging." Thesis, Lancaster University, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444859.

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22

Lu, Weiping. "Nonlinear dynamics of optical systems." Thesis, Heriot-Watt University, 1991. http://hdl.handle.net/10399/836.

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23

Maksymczuk, J. "Nonlinear equilibration of fast dynamics." Thesis, University of Essex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302631.

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24

Scott, Andrew J. "Classical and quantum nonlinear dynamics /." [St. Lucia, Qld.], 2001. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe16384.pdf.

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25

Neubauer, Jürgen. "Nonlinear dynamics of the voice." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2005. http://dx.doi.org/10.18452/15343.

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Die Physik der Lauterzeugung (Phonation) wurde mit Hilfe der Theorie der Nichtlinearen Dynamik untersucht. Digitale Hochgeschwindigkeitsaufnamen von Schwingungen in menschlichen und nichtmenschlichen Kehlkoepfen, digitale Bildanalyse, Signalanalyse und Modenanalyse wurden zur quantitativen Beschreibung nichtlinearer Phaenomene eingesetzt. Es wurden nichtlineare Phaenomene bei stimmkranker (pathologischer) menschlicher Lauterzeugung untersucht, wie auch in stimmgesunden Singstimmen und in Kehlkoepfen von nichtmenschlichen Saeugetieren mit Stimmlippen-Membranen. Durch Bifurkationsanalyse e

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26

Kapitaniak, Marcin. "Nonlinear dynamics of drill-strings." Thesis, University of Aberdeen, 2015. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=227960.

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This thesis has been motivated by the need to construct reliable, experimentally callibrated models of the drill-string assembly, that capture important phenomena associated with the drilling process, such as torsional oscillations, stick-slip and whirling. This can be achieved using a continuous finite element model, as well as low-dimensional torsional pendulum models in limited cases. The importance of this work lies in the fact, that the experimental rig utilizes real industrial drillbits and rock samples, which after careful identification of TOB speed curves, allows to use an equivalent

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27

Shekhawat, Ashivni. "Nonlinear dynamics of hysteretic oscillators." [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-2856.

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28

Mudd, Tom. "Nonlinear dynamics in musical interactions." Thesis, Open University, 2017. http://oro.open.ac.uk/52231/.

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This thesis examines nonlinear dynamical processes in musical tools, identifying certain roles that they play in creative interactions with existing tools, and investigates the roles they might play in digital tools. Nonlinear dynamical processes are fundamental in the everyday physical world. They lie at the core of many acoustic instruments, playing a particularly significant role in bowed and blown instruments. Two major studies are presented that approach these issues from different perspectives. Firstly a set of comparative studies explore the ways in which musicians engage with systems t

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29

Schumann, Michael. "Nonlinear dynamics in oscillating waterfalls." PDXScholar, 1992. https://pdxscholar.library.pdx.edu/open_access_etds/4421.

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30

Johnson, Holly. "Nonlinear dynamics of wake vortices." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX101/document.

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Les tourbillons de sillage d’avion sont sources de problèmes économiques, environnementaux et de sécurité, et par conséquent ont fait l’objet de très nombreuses recherches depuis plusieurs dizaines d’années. Le sillage est composé d’une paire de tourbillons contrarotatifs qui perdurent longtemps après le passage de l’avion. Dans cette thèse la dynamique non linéaire de ces tourbillons desillage est examinée par Simulation Numérique Directe. L’objectif est d’étudier les comportements non linéaires des tourbillons de sillage et d’évaluer le potentiel de destruction anticipée des tourbillons par

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31

Tsukamoto, Naofumi. "Phase dynamics in nonlinear systems." 京都大学 (Kyoto University), 2008. http://hdl.handle.net/2433/136010.

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32

Nayfeh, Mahir Ali. "Nonlinear dynamics in power systems." Thesis, Virginia Tech, 1990. http://hdl.handle.net/10919/41582.

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We use a perturbation analysis to predict some of the instabilities in a single-machine quasi-infinite busbar system. The system’s behavior is described by the so-called swing equation, which is a nonlinear second-order ordinary-differential equation with additive and multiplicative harmonic terms having the frequency Ω. When Ω≈ω₀, and Ω≈2ω₀, where ω₀ is the linear natural frequency of the machine, we use digital-computer simulations to exhibit some of the complicated responses of the machine, including period-doubling bifurcations, chaotic motions, and unbounded motions (loss of synchronism).

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33

Alam, Md Shafiful. "Iterative Methods to Solve Systems of Nonlinear Algebraic Equations." TopSCHOLAR®, 2018. https://digitalcommons.wku.edu/theses/2305.

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Iterative methods have been a very important area of study in numerical analysis since the inception of computational science. Their use ranges from solving algebraic equations to systems of differential equations and many more. In this thesis, we discuss several iterative methods, however our main focus is Newton's method. We present a detailed study of Newton's method, its order of convergence and the asymptotic error constant when solving problems of various types as well as analyze several pitfalls, which can affect convergence. We also pose some necessary and sufficient conditions on the

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34

González, Gómez Andrés. "Nonlinear dynamics and smooth transition models." Doctoral thesis, Handelshögskolan i Stockholm, Ekonomisk Statistik (ES), 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:hhs:diva-541.

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During the last few years nonlinear models have been a very active area of econometric research: new models have been introduced and existing ones generalized. To a large extent, these developments have concerned models in which the conditional moments are regime-dependent. In such models, the different regimes are usually linear and the change between them is governed by an observable or unobservable variable. These specifications can be useful in situations in which it is suspected that the behaviour of the dependent variable may vary between regimes. A classical example can be found the bus

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35

Bódai, Tamás. "Nonlinear ray dynamics in underwater acoustics." Available from the University of Aberdeen Library and Historic Collections Digital Resources, 2008. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=25875.

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36

Behdinan, Kamran. "Dynamics of geometrically nonlinear sliding beams." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ32734.pdf.

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37

Kim, Sangil. "Ensemble Filtering Methods for Nonlinear Dynamics." Diss., Tucson, Arizona : University of Arizona, 2005. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu%5Fetd%5F1101%5F1%5Fm.pdf&type=application/pdf.

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38

Wijewardane, Harshani Ovamini. "Nonlinear intersubband dynamics in semiconductor nanostructures." Diss., Columbia, Mo. : University of Missouri-Columbia, 2007. http://hdl.handle.net/10355/4744.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2007.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on December 17, 2007) Vita. Includes bibliographical references.

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39

al, Azad Abul Kalam. "Nonlinear synchrony dynamics of neuronal bursters." Thesis, University of Exeter, 2009. http://hdl.handle.net/10036/96226.

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We study the appearance of a novel phenomenon for coupled identical bursters: synchronized bursts where there are changes of spike synchrony within each burst. The examples we study are for normal form elliptic bursters where there is a periodic slow passage through a Bautin (codimension two degenerate Andronov-Hopf) bifurcation. This burster has a subcritical Andronov-Hopf bifurcation at the onset of repetitive spiking while the end of burst occurs via a fold limit cycle bifurcation. We study synchronization behavior of two Bautin-type elliptic bursters for a linear direct coupling scheme as

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40

Bódai, Tamás. "Nonlinear ray dynamics in underwater acoustics." Thesis, University of Aberdeen, 2008. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=25875.

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This thesis is concerned with long-range sound propagation in deep water. The main area of interest is the stability of acoustic ray paths in wave guides in which there is a transition from single to double duct sound speed profiles, or vice-versa. Sound propagation is modelled within a ray theoretical framework, which facilitates a dynamical systems approach of understanding long-range propagation phenomena, and the use of its tools of analysis. Alternative reduction techniques to the Poincaré sections are presented, by which the stability of acoustic rays can be graphically determined. Be

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41

Sarnari, Francesco. "Nonlinear dynamics with broken reflection symmetry." Thesis, University of Leeds, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.487778.

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This research focuses on a one-dimensional reaction-diffusion dynamical system. Specifically, we examine the effects produced in a bounded domain by different sources of symmetry-breaking in the system. Such a source might be a throughflow, responsible for breaking the system's reflection symmetry.

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42

Jiad, Khalid Mohammed. "Nonlinear dynamics of optically pumped laser." Thesis, Heriot-Watt University, 1993. http://hdl.handle.net/10399/1403.

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43

Sutcliffe, Paul Michael. "Soliton dynamics in nonlinear planar systems." Thesis, Durham University, 1992. http://etheses.dur.ac.uk/10492/.

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The work in this thesis is concerned with the study of stability and scattering of solitons in planar models ie where spacetime is (2+l)-dimensional. We consider both integrable models, where exact solutions can be written in closed form, and non-integrable models, where approximations and numerical methods must be employed. In chapter III we use a 'collective coordinate' approximation to study the scattering of solitons in a model motivated by elementary particle physics. In chapter IV we discuss a method to obtain approximate soliton configurations which can then be used to investigate solit

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44

Allen, Thomas. "The nonlinear dynamics of Langmuir circulations." Thesis, University of East Anglia, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.293227.

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Halse, C. K. "Nonlinear dynamics of the automotive driveline." Thesis, University of Bristol, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430171.

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46

Huang, Shu. "Investigating multiphoton phenomena using nonlinear dynamics." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22558.

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Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2008.<br>Committee Chair: Uzer, Turgay; Committee Member: Aral, Mustafa; Committee Member: Flannery, Raymond; Committee Member: Raman, Chandra; Committee Member: Schatz, Michael.

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47

Modi, Chetan O. "Nonlinear dynamics of a magnetoelastic system /." Online version of thesis, 1992. http://hdl.handle.net/1850/10849.

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48

Petviachvili, Nikolai. "Coherent structures in nonlinear plasma dynamics /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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49

Voorsluijs, Valérie. "Emergent properties of nonlinear compartmentalised dynamics." Doctoral thesis, Universite Libre de Bruxelles, 2018. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/273993.

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Systems chemistry aims at studying and developing "smart" materials displaying reactivity to external stimuli, metabolism, self-repair abilities and self-replication properties. These features constitute the principal characteristics of living systems that smart materials tend to mimic. The synthesis strategies of these materials are still in their infancy, and identifying the mechanisms underlying emergent phenomena could lead to a better control and use of these behaviours in the synthesis of new materials. The complex dynamics of biological systems usually arises from the coupling of compar

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50

Spencer, P. S. "Dynamics of semiconductor nonlinear optical waveguides." Thesis, University of Bath, 1993. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357408.

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