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Center manifolds for infinite dimensional random dynamical systems
Dynamical Systems ( IF 0.5 ) Pub Date : 2018-10-25 , DOI: 10.1080/14689367.2018.1531972
Xiaopeng Chen 1 , Anthony J. Roberts 2 , Jinqiao Duan 3
Affiliation  

ABSTRACT Stochastic centre manifolds theory are crucial in modelling the dynamical behaviour of complex systems under stochastic influences. The existence of stochastic centre 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.

中文翻译:

无限维随机动力系统的中心流形

摘要 随机中心流形理论对于模拟复杂系统在随机影响下的动力学行为至关重要。在指数三分法的假设下,显示了无限维随机动力系统的随机中心流形的存在。该理论为具有时空白噪声的非线性随机偏微分方程的离散化提供了支持。
更新日期:2018-10-25
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