Hopf Bifurcation Analysis in a New Chaotic System with Chaos Entanglement Function
Joint Authors
Xinlei, An
Yingxiang, Chang
Yandong, Chu
Du, Wenju
Jiangang, Zhang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A new approach to generate chaotic phenomenon, called chaos entanglement, is introduced in this paper.
The basic principle is to entangle two or multiple stable linear subsystems by entanglement functions to form an artificial chaotic system such that each of them evolves in a chaotic manner.
The Hopf bifurcation of a new chaotic system with chaos entanglement function is studied.
More precisely, we study the stability and bifurcations of equilibrium in the new chaotic system.
Besides, we controlled the system to any fixed point to eliminate the chaotic vibration by means of sliding mode method.
And the numerical simulations were presented to confirm the effectiveness of the controller.
American Psychological Association (APA)
Jiangang, Zhang& Yandong, Chu& Du, Wenju& Yingxiang, Chang& Xinlei, An. 2014. Hopf Bifurcation Analysis in a New Chaotic System with Chaos Entanglement Function. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-466765
Modern Language Association (MLA)
Jiangang, Zhang…[et al.]. Hopf Bifurcation Analysis in a New Chaotic System with Chaos Entanglement Function. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-466765
American Medical Association (AMA)
Jiangang, Zhang& Yandong, Chu& Du, Wenju& Yingxiang, Chang& Xinlei, An. Hopf Bifurcation Analysis in a New Chaotic System with Chaos Entanglement Function. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-466765
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466765