Center manifolds for stochastic evolution equations
Chen, Xiaopeng · Roberts, A. J. · Duan, Jinqiao
Original · EN
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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