Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise

Abstract

This work deals with the dynamics of a class of stochastic dynamical systems with a multiplicative non-Gaussian Levy noise. We first establish the existence of stable and unstable foliations for this system via the Lyapunov-Perron method. Then we examine the geometric structure of the invariant foliations, and their relation with invariant manifolds. Finally, we illustrate our results in an example.

References in corpus (1)

• Slow manifolds for stochastic systems with non-Gaussian stable Lévy noise

Cited by in corpus (1)

• Slow manifolds for a nonlocal fast-slow stochastic evolutionary system with stable Levy noise