Slow manifolds for stochastic koper models with stable Lévy noises

  • The Koper model is a vector field in which the differential equations describe the electrochemical oscillations appearing in diffusion processes. This work focuses on the understanding of the slow dynamics of a stochastic Koper model perturbed by stable Lévy noise. We establish the slow manifold for a stochastic Koper model with stable Lévy noise and verify exponential tracking properties. We also present two practical examples to demonstrate the analytical results with numerical simulations.

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Metadaten
Author:Hina Zulfiqar, Shenglan Yuan, Muhammad Shoaib Saleem
URN:urn:nbn:de:bvb:384-opus4-1034618
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/103461
ISSN:2075-1680OPAC
Parent Title (English):Axioms
Publisher:MDPI
Place of publication:Basel
Type:Article
Language:English
Date of first Publication:2023/03/03
Publishing Institution:Universität Augsburg
Release Date:2023/04/12
Tag:random slow manifold; Koper model; fast-slow stochastic system; Lévy motion; 37D10; 37H30; 60H10
Volume:12
Issue:3
First Page:261
DOI:https://doi.org/10.3390/axioms12030261
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)