Dynamics of stochastic Lorenz-Stenflo system

被引：8

作者：

Huang, Zaitang ^{[1
]}

Cao, Junfei ^{[2
]}

Jiang, Ting ^{[1
]}

机构：

[1] Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Peoples R China

[2] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China

来源：

NONLINEAR DYNAMICS | 2014年 / 78卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Stochastic Lorenz-Stenflo system; Stochastic ultimate bound; Random attractor; Stochastic bifurcation; Levy noise; ACOUSTIC-GRAVITY WAVES; EQUATIONS; BIFURCATION; ATMOSPHERE; CHAOS;

D O I：

10.1007/s11071-014-1562-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper discusses the Lorenz-Stenflo system under the influence of Levy noise. We find conditions under which the solution to stochastic Lorenz-Stenflo system is exponentially stable. We then investigate the estimation of the global attractive set and stochastic bifurcation behavior of the stochastic Lorenz-Stenflo system. Results show that the jump noise can make the solution stable, the bounds and bifurcation to undergo change under some conditions. Numerical results show the effectiveness and advantage of our methods.

引用

页码：1739 / 1754

页数：16

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