Name
Title | ||
|---|---|---|
Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Lévy noise. |
Abstract | ||
|---|---|---|
In this paper, we will prove that the local RDS φ generated by the stochastic logistic equation with non-Gaussian Lévy noise is continuous, linear and crude cocycle by basing on multiplicative ergodic theorem. Then we determine all invariant measures of the local RDS φ generated by the stochastic logistic equation with non-Gaussian Lévy noise, and we calculate the Lyapunov exponent for each of these measures. Furthermore, we will show that the stochastic logistic equation with non-Gaussian Lévy noise admits a D-bifurcations which is significantly different from the classical Brownian motion process. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.amc.2018.01.054 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Invariant measures,Stochastic bifurcation,Discontinuous cocycles,Multiplicative ergodic theorem,Lévy noise | Applied mathematics,Ergodicity,Multiplicative function,Mathematical analysis,Ergodic theory,Gaussian,Invariant (mathematics),Brownian motion,Logistic function,Lyapunov exponent,Mathematics | Journal |
Volume | ISSN | Citations |
330 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zaitang Huang | 1 | 4 | 2.32 |
| Junfei Cao | 2 | 4 | 1.64 |