Dynamical systems under random perturbations with fast switching and slow diffusion: hyperbolic equilibria and stable limit cycles

DOI10.1016/j.jde.2021.05.032zbMath1476.34128OpenAlexW3161395721MaRDI QIDQ2048506

Alexandru Hening, George Yin, Nguyen Huu Du, Dang H. Nguyen

Publication date: 6 August 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.05.032

zbMATH Keywords

limit cyclerandom perturbationrandom dynamical systeminvariant probability measurehybrid diffusionrapid switching

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Averaging method for ordinary differential equations (34C29) Ordinary differential equations and systems with randomness (34F05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Markov processes (60J99)

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