Chao, YingWei, PingyuanYuan, Shenglan2021-11-292021-11-292019-05-14Chao, 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. 1-21.1072-6691https://hdl.handle.net/10877/14956This 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.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalStochastic differential equationRandom dynamical systemInvariant foliationInvariant manifoldGeometric structureArticle