Stochastic period-doubling bifurcation analysis of a Rssler system with a bounded random parameter  

作　　者：倪菲 徐伟 方同 岳晓乐 

机构地区：[1]Department of Applied Mathematics,Northwestern Polytechnical University [2]Department of Engineering Mechanics,Northwestern Polytechnical University

出　　处：《Chinese Physics B》2010年第1期189-196,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10872165)

摘　　要：This paper aims to study the stochastic period-doubling bifurcation of the three-dimensional Rossler system with an arch-like bounded random parameter. First, we transform the stochastic RSssler system into its equivalent deterministic one in the sense of minimal residual error by the Chebyshev polynomial approximation method. Then, we explore the dynamical behaviour of the stochastic RSssler system through its equivalent deterministic system by numerical simulations. The numerical results show that some stochastic period-doubling bifurcation, akin to the conventional one in the deterministic case, may also appear in the stochastic Rossler system. In addition, we also examine the influence of the random parameter intensity on bifurcation phenomena in the stochastic Rossler system.This paper aims to study the stochastic period-doubling bifurcation of the three-dimensional Rossler system with an arch-like bounded random parameter. First, we transform the stochastic RSssler system into its equivalent deterministic one in the sense of minimal residual error by the Chebyshev polynomial approximation method. Then, we explore the dynamical behaviour of the stochastic RSssler system through its equivalent deterministic system by numerical simulations. The numerical results show that some stochastic period-doubling bifurcation, akin to the conventional one in the deterministic case, may also appear in the stochastic Rossler system. In addition, we also examine the influence of the random parameter intensity on bifurcation phenomena in the stochastic Rossler system.

关 键 词：Chebyshev polynomial approximation stochastic RSssler system stochastic period doubling bifurcation bounded random parameter 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]