Small noise approximation of center manifolds for stochastic dynamical systems

TL;DR

This paper introduces a method to approximate local random center manifolds in stochastic dynamical systems using small noise assumptions, with an illustrative example demonstrating its application.

Contribution

It provides a novel small noise approximation technique for local random center manifolds in stochastic systems, expanding analytical tools in this area.

Findings

Effective approximation of random center manifolds under small noise.

Illustrative example demonstrating the method's practicality.

Abstract

This paper provides a small noise approximation for local random center manifolds of a class of stochastic dynamical systems in Euclidean space. An example is presented to illustrate the method.