关于乘性噪声驱动的随机动力系统的中心流形的逼近

Approximation of Centre Manifolds for Multiplicative Noise Driven Stochastic Dynamical Systems

研究一类带乘性噪声驱动的随机发展方程的中心流形的Wong-Zakai型逼近,基于不变流形下解的收敛,用带光滑噪声的随机系统的中心流形去逼近原系统的中心流形,从而使得原随机系统的动力行为更清晰易见.

In this paper,we study the Wong-Zakai type approximation of the centre manifold for a class of stochastic evolution equations driven by multiplicative noise.Based on the convergence of solutions on invariant manifolds,the centre manifold of a stochastic system with smooth noise is used to approximate the centre manifold of the original system.So that the dynamic behavior of the original stochastic system is more clear.