Original scientific paper
https://doi.org/10.1080/00051144.2018.1491934
Dynamic system with no equilibrium and its chaos anti-synchronization
Victor Kamdoum Tamba
; Department of Telecommunication and Network Engineering, IUT-Fotso Victor of Bandjoun, University of Dschang, Bandjoun, Cameroon
Viet-Thanh Pham
; Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Duy Vo Hoang
; Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Sajad Jafari
; Department of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran
Fawaz E. Alsaadi
; Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia
Fuad E. Alsaadi
; Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Abstract
Recently, systems with chaos and the absence of equilibria have received a great deal of attention. In our work, a simple five-term system and its anti-synchronization are presented. It is special that the system has a hyperbolic sine nonlinearity and no equilibrium. Such a system generates chaotic behaviours, which are verified by phase portraits, positive Lyapunov exponent as well as an electronic circuit. Moreover, the system displays multistable characteristic when changing its initial conditions. By constructing an adaptive control, chaos anti-synchronization of the system
with no equilibrium is obtained and illustrated via a numerical example.
Keywords
Chaos; hyperbolic sine; equilibrium; multistability; control; anti-synchronization
Hrčak ID:
225176
URI
Publication date:
6.8.2018.
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