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Статті в журналах з теми "Slow-Fast asymptotic analysis"
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 (September 1, 2004): 462–66. http://dx.doi.org/10.1115/1.1793172.
Повний текст джерелаNave, 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.
Повний текст джерелаThomas, 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.
Повний текст джерелаZhou, 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.
Повний текст джерелаMARVÁ, 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 (August 13, 2012): 1250025. http://dx.doi.org/10.1142/s021820251250025x.
Повний текст джерелаSchröders, Simon, and Alexander Fidlin. "Asymptotic analysis of self-excited and forced vibrations of a self-regulating pressure control valve." Nonlinear Dynamics 103, no. 3 (February 2021): 2315–27. http://dx.doi.org/10.1007/s11071-021-06241-5.
Повний текст джерелаMustafin, 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.
Повний текст джерелаGlizer, Valery Y. "Asymptotic Analysis of Spectrum and Stability for One Class of Singularly Perturbed Neutral-Type Time-Delay Systems." Axioms 10, no. 4 (November 30, 2021): 325. http://dx.doi.org/10.3390/axioms10040325.
Повний текст джерелаChabyshova, Elmira, and Gennady Goloshubin. "Seismic modeling of low-frequency “shadows” beneath gas reservoirs." GEOPHYSICS 79, no. 6 (November 1, 2014): D417—D423. http://dx.doi.org/10.1190/geo2013-0379.1.
Повний текст джерелаKathirkamanayagan, M., and G. S. Ladde. "Large scale singularly perturbed boundary value problems." Journal of Applied Mathematics and Simulation 2, no. 3 (January 1, 1989): 139–67. http://dx.doi.org/10.1155/s1048953389000122.
Повний текст джерелаДисертації з теми "Slow-Fast asymptotic analysis"
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.
Повний текст джерелаAdaptive dynamics theory is a branch of evolutionary biology which studies the links between ecology and evolution. The biological assumptions that define its framework are those of rare and small mutations and large asexual populations. Adaptive dynamics models describe the population at the level of individuals, which are characterised by their phenotypes, and aim to study the influence of heredity, mutation and selection mechanisms on the long term evolution of the population. The success of this theory comes in particular from its ability to provide a description of the long term evolution of the dominant phenotype in the population as a solution to the “Canonical Equation of Adaptive Dynamics” driven by a fitness gradient, where fitness describes the possibility of mutant invasions, and is constructed from ecological parameters. Two main mathematical approaches to the canonical equation have been developed so far: an approach based on PDEs and a stochastic approach. Despite its success, the stochastic approach is criticised by biologists as it is based on a non-realistic assumption of too rare mutations. The goal of this thesis is to correct this biological controversy by proposing more realistic probabilistic models. More precisely, the aim is to investigate mathematically, under a double asymptotic of large population and small mutations, the consequences of a new biological assumption of frequent mutations on the canonical equation. The goal is to determine, from a stochastic individual-based model, the long term behaviour of the mean phenotypic trait of the population. The question we ask is reformulated into a slow-fast asymptotic analysis acting on two eco-evolutionary time scales. A slow scale corresponding to the dynamics of the mean trait, and a fast scale corresponding to the evolutionary dynamics of the centred and dilated distribution of traits. This slow-fast asymptotic analysis is based on averaging techniques. This method requires the identification and characterisation of the asymptotic behaviour of the fast component and that the latter has ergodicity properties. More precisely, the long time behaviour of the fast component is non-classical and corresponds to that of an original measure-valued diffusion which is interpreted as a centered Fleming-Viot process that is characterised as the unique solution of a certain martingale problem. Part of these results is based on a duality relation on this non-classical process and requires moment conditions on the initial data. Using coupling techniques and the correspondence between Moran's particle processes and Kingman's genealogies, we establish that the centered Fleming-Viot process satisfies an ergodicity property with exponential convergence result in total variation. The implementation of averaging methods, inspired by Kurtz, is based on compactness-uniqueness arguments. The idea is to prove the compactness of the laws of the couple made up of the slow component and the occupation measure of the fast component and then to establish a martingale problem for all accumulation points of the family of laws of this couple. The last step is to identify these accumulation points. This method requires in particular the introduction of stopping times to control the moments of the fast component and to prove that they tend to infinity using large deviation arguments, to reduce the problem initially posed on the real line to the torus case in order to prove compactness, to identify the limit of the fast component by adapting an argument based on Dawson duality, to identify the limit of the slow component and then to move from the torus to the real line
Книги з теми "Slow-Fast asymptotic analysis"
Zeitlin, Vladimir. Getting Rid of Fast Waves: Slow Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0005.
Повний текст джерелаТези доповідей конференцій з теми "Slow-Fast asymptotic analysis"
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.
Повний текст джерелаGoldfarb, 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.
Повний текст джерелаMartel, 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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