Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise
Dynamical Systems
2019-05-01 v3
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.
Cite
@article{arxiv.1802.10017,
title = {Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise},
author = {Ying Chao and Pingyuan Wei and Shenglan Yuan},
journal= {arXiv preprint arXiv:1802.10017},
year = {2019}
}