A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization
Joint Authors
Pham, Viet-Thanh
Volos, Christos
Wang, Xiong
Vaidyanathan, Sundarapandian
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Discovering systems with hidden attractors is a challenging topic which has received considerable interest of the scientific community recently.
This work introduces a new chaotic system having hidden chaotic attractors with an infinite number of equilibrium points.
We have studied dynamical properties of such special system via equilibrium analysis, bifurcation diagram, and maximal Lyapunov exponents.
In order to confirm the system’s chaotic behavior, the findings of topological horseshoes for the system are presented.
In addition, the possibility of synchronization of two new chaotic systems with infinite equilibria is investigated by using adaptive control.
American Psychological Association (APA)
Pham, Viet-Thanh& Volos, Christos& Vaidyanathan, Sundarapandian& Wang, Xiong. 2016. A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095829
Modern Language Association (MLA)
Pham, Viet-Thanh…[et al.]. A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization. Advances in Mathematical Physics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095829
American Medical Association (AMA)
Pham, Viet-Thanh& Volos, Christos& Vaidyanathan, Sundarapandian& Wang, Xiong. A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095829