APPROXIMATION OF INVARIANT FOLIATIONS FOR STOCHASTIC DYNAMICAL SYSTEMS

DOI10.1142/S0219493712003614zbMath1252.60057arXiv1111.6388OpenAlexW1967599421MaRDI QIDQ2888816

Xu Sun, Xingye Kan, Jin-qiao Duan

Publication date: 4 June 2012

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6388

zbMATH Keywords

asymptotic expansionfibregap conditionstable and unstable foliations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random dynamical systems (37H99)

Related Items (5)

Slow foliation of a slow-fast stochastic evolutionary system ⋮ A parameter estimation method based on random slow manifolds ⋮ Slow manifold for a nonlocal stochastic evolutionary system with fast and slow components ⋮ Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise ⋮ Invariant foliations for stochastic partial differential equations with dynamic boundary conditions

Cites Work

• Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Smooth stable and unstable manifolds for stochastic evolutionary equations
• The stable manifold theorem for stochastic differential equations
• A dynamical approximation for stochastic partial differential equations
• INVARIANT FOLIATIONS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
• An impact of noise on invariant manifolds in nonlinear dynamical systems
• Invariant manifolds

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