Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise
| dc.contributor.author | Chao, Ying | |
| dc.contributor.author | Wei, Pingyuan | |
| dc.contributor.author | Yuan, Shenglan | |
| dc.date.accessioned | 2021-11-29T14:23:32Z | |
| dc.date.available | 2021-11-29T14:23:32Z | |
| dc.date.issued | 2019-05-14 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14956 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Stochastic differential equation | |
| dc.subject | Random dynamical system | |
| dc.subject | Invariant foliation | |
| dc.subject | Invariant manifold | |
| dc.subject | Geometric structure | |
| dc.title | Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise | |
| dc.type | Article |