Relevant bibliographies by topics / Slow-Fast asymptotic analysis

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  2. Dissertations / Theses
  3. Books
  4. Conference papers

Academic literature on the topic 'Slow-Fast asymptotic analysis'

Author: Grafiati
Published: 8 June 2024
Last updated: 31 July 2025

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Journal articles on the topic "Slow-Fast asymptotic analysis"

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Pan, Shing-Tai, Ching-Fa Chen, and Jer-Guang Hsieh. "Stability Analysis for a Class of Singularly Perturbed Systems With Multiple Time Delays." Journal of Dynamic Systems, Measurement, and Control 126, no. 3 (2004): 462–66. http://dx.doi.org/10.1115/1.1793172.

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The paper is to investigate the asymptotic stability for a general class of linear time-invariant singularly perturbed systems with multiple non-commensurate time delays. It is a common practice to investigate the asymptotic stability of the original system by establishing that of its slow subsystem and fast subsystem. A frequency-domain approach is first presented to determine a sufficient condition for the asymptotic stability of the slow subsystem (reduced-order model), which is a singular system with multiple time delays, and the fast subsystem. Two delay-dependent criteria, ε-dependent an
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Nave, OPhir, Israel Hartuv та Uziel Shemesh. "Θ-SEIHRD mathematical model of Covid19-stability analysis using fast-slow decomposition". PeerJ 8 (21 вересня 2020): e10019. http://dx.doi.org/10.7717/peerj.10019.

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In general, a mathematical model that contains many linear/nonlinear differential equations, describing a phenomenon, does not have an explicit hierarchy of system variables. That is, the identification of the fast variables and the slow variables of the system is not explicitly clear. The decomposition of a system into fast and slow subsystems is usually based on intuitive ideas and knowledge of the mathematical model being investigated. In this study, we apply the singular perturbed vector field (SPVF) method to the COVID-19 mathematical model of to expose the hierarchy of the model. This de
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Glizer, Valery Y. "Stability Analysis of Some Types of Singularly Perturbed Time-Delay Differential Systems: Symmetric Matrix Riccati Equation Approach." Symmetry 16, no. 7 (2024): 838. http://dx.doi.org/10.3390/sym16070838.

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Several types of linear and nonlinear singularly perturbed time-delay differential systems are considered. Asymptotic stability of the linear systems and asymptotic stability of the trivial solution of the nonlinear systems, valid for any sufficiently small value of the parameter of singular perturbation, are analyzed. For the stability analysis in the linear case, a partial exact slow–fast decomposition of the original system and an application of the Symmetric Matrix Riccati Equation method are proposed. Such an analysis yields parameter-free conditions, providing the asymptotic stability of
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Thomas, Jim. "Resonant fast–slow interactions and breakdown of quasi-geostrophy in rotating shallow water." Journal of Fluid Mechanics 788 (January 8, 2016): 492–520. http://dx.doi.org/10.1017/jfm.2015.706.

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In this paper we investigate the possibility of fast waves affecting the evolution of slow balanced dynamics in the regime $Ro\sim Fr\ll 1$ of a rotating shallow water system, where $Ro$ and $Fr$ are the Rossby and Froude numbers respectively. The problem is set up as an initial value problem with unbalanced initial data. The method of multiple time scale asymptotic analysis is used to derive an evolution equation for the slow dynamics that holds for $t\lesssim 1/(fRo^{2})$, $f$ being the inertial frequency. This slow evolution equation is affected by the fast waves and thus does not form a cl
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Zhou, Yanli, Shican Liu, Shuang Li, and Xiangyu Ge. "The Correction of Multiscale Stochastic Volatility to American Put Option: An Asymptotic Approximation and Finite Difference Approach." Journal of Function Spaces 2021 (September 17, 2021): 1–14. http://dx.doi.org/10.1155/2021/1217665.

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It has been found that the surface of implied volatility has appeared in financial market embrace volatility “Smile” and volatility “Smirk” through the long-term observation. Compared to the conventional Black-Scholes option pricing models, it has been proved to provide more accurate results by stochastic volatility model in terms of the implied volatility, while the classic stochastic volatility model fails to capture the term structure phenomenon of volatility “Smirk.” More attempts have been made to correct for American put option price with incorporating a fast-scale stochastic volatility
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MARVÁ, M., J. C. POGGIALE, and R. BRAVO DE LA PARRA. "REDUCTION OF SLOW–FAST PERIODIC SYSTEMS WITH APPLICATIONS TO POPULATION DYNAMICS MODELS." Mathematical Models and Methods in Applied Sciences 22, no. 10 (2012): 1250025. http://dx.doi.org/10.1142/s021820251250025x.

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This work deals with the approximate reduction of a nonautonomous two time scales ordinary differential equations system with periodic fast dynamics. We illustrate this technique with the analysis of two models belonging to different fields in ecology. On the one hand, we deal with a two patches periodic predator–prey model with a refuge for prey. Considering migrations between patches to be faster than local interaction allows us to study a three-dimensional system by means of a two-dimensional one. On the other hand, a two time scales periodic eco-epidemic model is addressed by considering t
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Mustafin, Almaz T., and Aliya K. Kantarbayeva. "Clearing function in the context of the invariant manifold method." Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 19, no. 2 (2023): 185–98. http://dx.doi.org/10.21638/11701/spbu10.2023.205.

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Clearing functions (CFs), which express a mathematical relationship between the expected throughput of a production facility in a planning period and its workload (or work-inprogress, WIP) in that period have shown considerable promise for modeling WIP-dependent cycle times in production planning. While steady-state queueing models are commonly used to derive analytic expressions for CFs, the finite length of planning periods calls their validity into question. We apply a different approach to propose a mechanistic model for one-resource, one-product factory shop based on the analogy between t
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Schröders, Simon, and Alexander Fidlin. "Asymptotic analysis of self-excited and forced vibrations of a self-regulating pressure control valve." Nonlinear Dynamics 103, no. 3 (2021): 2315–27. http://dx.doi.org/10.1007/s11071-021-06241-5.

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AbstractPressure vibrations in hydraulic systems are a widespread problem and can be caused by external excitation or self-exciting mechanisms. Although vibrations cannot be completely avoided in most cases, at least their frequencies must be known in order to prevent resonant excitation of adjacent components. While external excitation frequencies are known in most cases, the estimation of self-excited vibration amplitudes and frequencies is often difficult. Usually, numerical studies have to be executed in order to elaborate parameter influences, which is computationally expensive. The same
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Glizer, Valery Y. "Asymptotic Analysis of Spectrum and Stability for One Class of Singularly Perturbed Neutral-Type Time-Delay Systems." Axioms 10, no. 4 (2021): 325. http://dx.doi.org/10.3390/axioms10040325.

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In this study, a singularly perturbed linear time-delay system of neutral type is considered. It is assumed that the delay is small of order of a small positive parameter multiplying a part of the derivatives in the system. This system is decomposed asymptotically into two much simpler parameter-free subsystems, the slow and fast ones. Using this decomposition, an asymptotic analysis of the spectrum of the considered system is carried out. Based on this spectrum analysis, parameter-free conditions guaranteeing the exponential stability of the original system for all sufficiently small values o
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Chabyshova, Elmira, and Gennady Goloshubin. "Seismic modeling of low-frequency “shadows” beneath gas reservoirs." GEOPHYSICS 79, no. 6 (2014): D417—D423. http://dx.doi.org/10.1190/geo2013-0379.1.

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P-wave amplitude anomalies below reservoir zones can be used as hydrocarbon markers. Some of those anomalies are considerably delayed relatively to the reflections from the reservoir zone. High P-wave attenuation and velocity dispersion of the observed P-waves cannot justify such delays. The hypothesis that these amplitude anomalies are caused by wave propagation through a layered permeable gaseous reservoir is evaluated. The wave propagation through highly interbedded reservoirs suggest an anomalous amount of mode conversions between fast and slow P-waves. The converted P-waves, which propaga
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Dissertations / Theses on the topic "Slow-Fast asymptotic analysis"

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Hass, Vincent. "Modèles individu-centrés en dynamiques adaptatives, comportement asymptotique et équation canonique : le cas des mutations petites et fréquentes." Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0165.

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La théorie des dynamiques adaptatives est une branche de la biologie de l'évolution qui étudie les liens entre Écologie et Évolution. Les hypothèses biologiques qui définissent son cadre sont celles de mutations rares et petites et de grande population asexuée. Les modèles de dynamiques adaptatives décrivent la population au niveau des individus, lesquels sont caractérisés par leurs phénotypes, et visent à étudier l'influence des mécanismes d'hérédité, de mutation et de sélection sur l'évolution à long terme de la population. Le succès de cette théorie vient notamment de sa capacité à fournir
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Books on the topic "Slow-Fast asymptotic analysis"

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Zeitlin, Vladimir. Getting Rid of Fast Waves: Slow Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0005.

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After analysis of general properties of horizontal motion in primitive equations and introduction of principal parameters, the key notion of geostrophic equilibrium is introduced. Quasi-geostrophic reductions of one- and two-layer rotating shallow-water models are obtained by a direct filtering of fast inertia–gravity waves through a choice of the time scale of motions of interest, and by asymptotic expansions in Rossby number. Properties of quasi-geostrophic models are established. It is shown that in the beta-plane approximations the models describe Rossby waves. The first idea of the classi
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Conference papers on the topic "Slow-Fast asymptotic analysis"

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Fidlin, Alexander. "Oscillator in a Clearance: Asymptotic Approaches and Nonlinear Effects." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84080.

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Averaging combined with non-smooth unfolding transformations is used in this paper for investigating of the basic properties of an oscillator in a clearance. The classical stereo-mechanical approach is used in order to describe collisions between the mass and the limits. Energy dissipation during collision events is taken into account. The analysis is concentrated on the oscillation regimes with alternating collisions with both sides of the clearance. The self-excited friction oscillator in a clearance is considered as the first example. It is shown that applying the unfolding transformation t
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Goldfarb, Igor, Vladimir Goldshtein, Grigory Kuzmenko, and J. Barry Greenberg. "Monodisperse Spray Effects on Thermal Explosion in a Gas." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0882.

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Abstract The effect of a flammable spray on the thermal explosion in a combustible gas mixture is investigated based on an original physical model. For qualitative analysis of the system an advanced geometric asymptotic technique (integral manifold method) has been used. Possible types of dynamical behavior of the system are classified and parametric regions of their existence are determined analytically. It turns out that there are five main dynamical regimes of the system: slow regimes, conventional fast explosive regimes, thermal explosion with freeze delay and two different types of therma
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Martel, Carlos, Roque Corral, and Rahul Ivaturi. "Flutter Amplitude Saturation by Nonlinear Friction Forces: Reduced Model Validation." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25462.

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The computation of the final, friction saturated Limit Cycle Oscillation amplitude of an aerodynamically unstable bladeddisk in a realistic configuration is a formidable numerical task. In spite of the large numerical cost and complexity of the simulations, the output of the system is not that complex: it typically consists of an aeroelastically unstable traveling wave (TW), which oscillates at the elastic modal frequency and exhibits a modulation in a much longer time scale. This slow time modulation over the purely elastic oscillation is due to both, the small aerodynamic effects and the sma
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