Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances

Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances

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 disturb...

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Main Authors: Lingling Geng, Yongguang Yu, Shuo Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/610816
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spelling doaj-43f5d265ab294dfdabebbb7f83b410422020-11-24T20:41:30ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/610816610816Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic DisturbancesLingling Geng0Yongguang Yu1Shuo Zhang2Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaThe 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.http://dx.doi.org/10.1155/2014/610816
collection DOAJ
language English
format Article
sources DOAJ
author Lingling Geng
Yongguang Yu
Shuo Zhang
spellingShingle Lingling Geng
Yongguang Yu
Shuo Zhang
Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
Journal of Applied Mathematics
author_facet Lingling Geng
Yongguang Yu
Shuo Zhang
author_sort Lingling Geng
title Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
title_short Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
title_full Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
title_fullStr Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
title_full_unstemmed Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
title_sort dynamic analysis of the nonlinear chaotic system with multistochastic disturbances
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/610816
work_keys_str_mv AT linglinggeng dynamicanalysisofthenonlinearchaoticsystemwithmultistochasticdisturbances
AT yongguangyu dynamicanalysisofthenonlinearchaoticsystemwithmultistochasticdisturbances
AT shuozhang dynamicanalysisofthenonlinearchaoticsystemwithmultistochasticdisturbances
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