Center manifolds for stochastic evolution equations
Dynamical Systems
2015-03-13 v1
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.
Cite
@article{arxiv.1210.5924,
title = {Center manifolds for stochastic evolution equations},
author = {Xiaopeng Chen and A. J. Roberts and Jinqiao Duan},
journal= {arXiv preprint arXiv:1210.5924},
year = {2015}
}
Comments
33pages