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arXiv · 1210.5924

Center manifolds for stochastic evolution equations

Xiaopeng Chen·A. J. Roberts·Jinqiao Duan
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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.

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Xiaopeng Chen, A. J. Roberts, Jinqiao Duan. 2012-10-22. Center manifolds for stochastic evolution equations. https://arxiv.org/abs/1210.5924

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