Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances

被引：2
|
作者：
Geng, Lingling [1 ]
Yu, Yongguang [1 ]
Zhang, Shuo [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
关键词：
PERIOD-DOUBLING BIFURCATION; DER-POL SYSTEM; POLYNOMIAL-APPROXIMATION; LORENZ; UNCERTAINTY; FLOW;
D O I：
10.1155/2014/610816
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlinear chaotic system with multistochastic disturbances is investigated. Based on the orthogonal polynomial approximation, the method of transforming the system into an equivalent deterministic system is given. Then dynamic analysis of the nonlinear chaotic system with multistochastic disturbances can be reduced into that of its equivalent deterministic system. Especially, the Lorenz system with multistochastic disturbances is studied to demonstrate the feasibility of the given method. And its dynamic behaviors are gained including the phase portrait, the bifurcation diagram, the Poincare section, and the maximum Lyapunov exponent.
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收藏
页数：16
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