Applied Mathematics Seminar

Speaker: Xiaoying Han;

Title: Dynamics of Stochastic Fast-Slow Chemical Reaction Systems

Abstract: Motivated by the need for dynamical analysis and model reduction in stiff stochastic chemical systems, we focus on the development of methodologies for analysis of the dynamical structure of singularly-perturbed stochastic dynamical systems. We outline a formulation based on random dynamical systems theory. We demonstrate the analysis for a model two-dimensional stochastic dynamical system built on an underlying deterministic system with a tailored fast-slow structure, and an analytically known slow manifold, employing multiplicative Brownian motion noise forcing.