Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise (1802.10017v3)

Published 27 Feb 2018 in math.DS

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.

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