Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances. (6th August 2014)

• Record Type: Journal Article
• Authors: Geng, Lingling; Yu, Yongguang; Zhang, Shuo
• Other Names: Sanjuan Miguel A. F. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-08-06
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/610816
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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 Poincaré section, and the maximum Lyapunov exponent.