Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900980 | Applied Mathematics and Computation | 2018 | 10 Pages |
Abstract
In this paper, we will prove that the local RDS Ï 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 Ï 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zaitang Huang, Junfei Cao,