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The Koper model is a vector field in which the differential equationsdescribe the electrochemical oscillations appearing in diffusion processes.This work focuses on the understanding of the slow dynamics of stochastic Kopermodel perturbed by stable L\'evy noise. We establish the slow manifold forstochastic Koper model with stable L\'evy noise and verify exponential trackingproperty. We also present a practical example to demonstrate the analyticalresults with numerical simulations.

Slow manifolds for stochastic Koper models with stable L\'evy noises