Approximations of center manifolds for delay stochastic differential equations with additive noise

Abstract

This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the Ck{C}^{k} invariant center manifolds of the system with colored noise approximate that of the original system.

Keywords

• delay equation
• center manifold
• random dynamical system
• additive noise
• primary: 60h10
• secondary: 37d10
• 37h10