Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Levy noise

被引：7
作者：
Huang, Zaitang [1 ,3 ]
Cao, Junfei [2 ]
机构：
[1] Guangxi Teachers Educ Univ, Sch Math & Stat, Nanning 530023, Peoples R China
[2] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China
[3] Guangxi Teachers Educ Univ, Key Lab Data Sci, Nanning 530023, Guangxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 330卷
基金：
中国国家自然科学基金;
关键词：
Invariant measures; Stochastic bifurcation; Discontinuous cocycles; Multiplicative ergodic theorem; Levy noise; DRIVEN; STABILITY; SYSTEMS;
D O I：
10.1016/j.amc.2018.01.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will prove that the local RDS phi generated by the stochastic logistic equation with non-Gaussian Levy noise is continuous, linear and crude cocycle by basing on multiplicative ergodic theorem. Then we determine all invariant measures of the local RDS phi generated by the stochastic logistic equation with non-Gaussian Levy noise, and we calculate the Lyapunov exponent for each of these measures. Furthermore, we will show that the stochastic logistic equation with non-Gaussian Levy noise admits a D-bifurcations which is significantly different from the classical Brownian motion process. (C) 2018 Elsevier Inc. All rights reserved.
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页码：1 / 10
页数：10
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