Slow manifolds for stochastic Koper models with stable L\'evy 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 stochastic Koper model perturbed by stable L\'evy noise. We establish the slow manifold for stochastic Koper model with stable L\'evy noise and verify exponential tracking property. We also present a practical example to demonstrate the analytical results with numerical simulations.