Center manifolds for infinite dimensional random dynamical systems
Dynamical Systems
2013-10-16 v1
Abstract
Stochastic center manifolds theory are crucial in modelling the dynamical behavior of complex systems under stochastic influences. A multiplicative ergodic theorem on Hilbert space is proved to be satisfied to the exponential trichotomy condition. Then the existence of stochastic center manifolds for infinite dimensional random dynamical systems is shown under the assumption of exponential trichotomy. The theory provides a support for the discretisations of nonlinear stochastic partial differential equations with space-time white noise.
Cite
@article{arxiv.1310.4062,
title = {Center manifolds for infinite dimensional random dynamical systems},
author = {Xiaopeng Chen and Anthony J. Roberts and Jinqiao Duan},
journal= {arXiv preprint arXiv:1310.4062},
year = {2013}
}
Comments
33pages. arXiv admin note: substantial text overlap with arXiv:1210.5924