Small Fluctuations in Systems with Multiple Limit Cycles

DOI10.1137/0138011zbMath0439.60054OpenAlexW1987229358MaRDI QIDQ3881659

Marc Mangel

Publication date: 1978

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0138011

zbMATH Keywords

numerical examplesdiffusion approximationHopf bifurcationunstable limit cyclessmall random perturbation on deterministic systems

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Ordinary differential equations and systems with randomness (34F05)

Related Items (3)

A stochastic return map for stochastic differential equations ⋮ Confidence tori in the analysis of stochastic 3D-cycles ⋮ Multi-stable periodical devices with variations on the theme of Van der Pol

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