Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
Joint Authors
Zhang, Shuo
Geng, Lingling
Yu, Yongguang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-06
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Geng, Lingling& Yu, Yongguang& Zhang, Shuo. 2014. Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-484993
Modern Language Association (MLA)
Geng, Lingling…[et al.]. Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances. Journal of Applied Mathematics No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-484993
American Medical Association (AMA)
Geng, Lingling& Yu, Yongguang& Zhang, Shuo. Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-484993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484993
