Center manifolds for stochastic evolution equations

2012/10/22 by Xiaopeng Chen, Chen, Xiaopeng, A. J. Roberts +3 · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · #35R60 #60H15 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Biology Tumor Growth #Stability and Controllability of Differential Equations #Stochastic processes and financial applications #math.DS #msc:35R60 #msc:60H15

paper · pdf · doi:10.48550/arxiv.1210.5924

33pages

arxiv created 2012/10/22 · openalex publication_date 2012/10/22 · arxiv updated 2015/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Stochastic invariant manifolds are crucial in modelling the dynamical behavior of dynamical systems under uncertainty. Under the assumption of exponential trichotomy, existence and smoothness of center manifolds for a class of stochastic evolution equations with linearly multiplicative noise are proved. The exponential attraction and approximation to center manifolds are also discussed.

Citations

• Random dynamical systems

Cited by

• Center manifolds for infinite dimensional random dynamical systems

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