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arXiv · 1802.10017

Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise

Ying Chao·Pingyuan Wei·Shenglan Yuan
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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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Ying Chao, Pingyuan Wei, Shenglan Yuan. 2018-02-27. Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise. https://arxiv.org/abs/1802.10017

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