Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise
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Date
2019-05-14
Authors
Chao, Ying
Wei, Pingyuan
Yuan, Shenglan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This work concerns 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 kind of system via the Lyapunov-Perron method. Then we examine the geometric structure of the invariant foliations, and their relation with invariant manifolds. Also we illustrate our results in an example.
Description
Keywords
Stochastic differential equation, Random dynamical system, Invariant foliation, Invariant manifold, Geometric structure
Citation
Chao, Y., Wei, P., & Yuan, S. (2019). Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise. <i>Electronic Journal of Differential Equations, 2019</i>(68), pp. 1-21.
Rights
Attribution 4.0 International