Slow Manifolds for Stochastic Koper Models with Stable Lévy Noises

Abstract

The Koper model is a vector field in which the differential equations describe the electrochemical oscillations appearing in diffusion processes. This work focuses on the understanding of the slow dynamics of a stochastic Koper model perturbed by stable Lévy noise. We establish the slow manifold for a stochastic Koper model with stable Lévy noise and verify exponential tracking properties. We also present two practical examples to demonstrate the analytical results with numerical simulations.

Keywords

• random slow manifold
• Koper model
• fast-slow stochastic system
• Lévy motion