Three Important Phenomena of Chaos Synchronization Between Two Different Hyperchaotic Systems via Adaptive Control Method
International Journal of Theoretical and Applied Mathematics
Volume 3, Issue 1, February 2017, Pages: 36-42
Received: Oct. 13, 2016; Accepted: Nov. 3, 2016; Published: Jan. 12, 2017
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Authors
Maysoon M. Aziz, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Saad Fawzi Al-Azzawi, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
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Abstract
This paper presents three important phenomena of chaos synchronization between two different hyperchaotic systems using nonlinear adaptive control strategy. In detailed, complete synchronization, anti- synchronization and hybrid synchronization with nine unknown parameters. Modified hyperchaotic Pan system is consider as drive and hyperchaotic Liu system as response system. Stabilization of error dynamics for each phenomenon is realized by satisfying Lyapunov's second method as a main tool. Theoretical analysis and numerical simulations are shown to verify the results.
Keywords
Complete Synchronization, Anti-synchronization, Hybrid Synchronization, Nonlinear Dynamical Systems, Adaptive Control, Lyapunov's Second Method
To cite this article
Maysoon M. Aziz, Saad Fawzi Al-Azzawi, Three Important Phenomena of Chaos Synchronization Between Two Different Hyperchaotic Systems via Adaptive Control Method, International Journal of Theoretical and Applied Mathematics. Vol. 3, No. 1, 2017, pp. 36-42. doi: 10.11648/j.ijtam.20170301.16
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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