Stability of a Stochastic Two-Dimensional Non-Hamiltonian System

DOI10.1137/100782139zbMath1241.34067OpenAlexW2062601725MaRDI QIDQ3097541

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Publication date: 10 November 2011

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

Full work available at URL: https://doi.org/10.1137/100782139

zbMATH Keywords

Markov processesLyapunov exponentmartingale problemstochastic averagingshear-induced instability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

Related Items (10)

Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise ⋮ The Poincaré map of randomly perturbed periodic motion ⋮ A general view on double limits in differential equations ⋮ Hopf bifurcation with additive noise ⋮ Limitations of perturbative techniques in the analysis of rhythms and oscillations ⋮ Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems ⋮ Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise ⋮ Positive Lyapunov exponent in the Hopf normal form with additive noise ⋮ Bifurcation analysis of a stochastically driven limit cycle ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation

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