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Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System
Joint Authors
Ma, Shao-juan
Wu, Juan
Ran, Jie
Li, Yu-Qin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The dynamics of a discrete-time hyperchaotic system and the amplitude control of Hopf bifurcation for a stochastic discrete-time hyperchaotic system are investigated in this paper.
Numerical simulations are presented to exhibit the complex dynamical behaviors in the discrete-time hyperchaotic system.
Furthermore, the stochastic discrete-time hyperchaotic system with random parameters is transformed into its equivalent deterministic system with the orthogonal polynomial theory of discrete random function.
In addition, the dynamical features of the discrete-time hyperchaotic system with random disturbances are obtained through its equivalent deterministic system.
By using the Hopf bifurcation conditions of the deterministic discrete-time system, the specific conditions for the existence of Hopf bifurcation in the equivalent deterministic system are derived.
And the amplitude control with random intensity is discussed in detail.
Finally, the feasibility of the control method is demonstrated by numerical simulations.
American Psychological Association (APA)
Ran, Jie& Li, Yu-Qin& Ma, Shao-juan& Wu, Juan. 2015. Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060375
Modern Language Association (MLA)
Ran, Jie…[et al.]. Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060375
American Medical Association (AMA)
Ran, Jie& Li, Yu-Qin& Ma, Shao-juan& Wu, Juan. Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060375