Adaptive synchronization and anti-synchronization of fractional order chaotic optical systems with uncertain parameters

Volume 23, Issue 4, pp 302--314 http://dx.doi.org/10.22436/jmcs.023.04.03

Publication Date: November 22, 2020 Submission Date: June 29, 2020 Revision Date: September 29, 2020 Accteptance Date: October 04, 2020

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Authors

O. Ababneh - School of Mathematics, Zarqa University, Zarqa, Jordan.

Abstract

This paper proposes an adaptive control algorithm to study the synchronization and anti-synchronization of fractional order chaotic optical systems. The Lyapunov stability theory verifies the convergence behavior and guarantees the robust asymptotic stability of the equilibrium point at the origin. In the sense of Lyapunov function, this paper also provides parameters adaptation laws that confirm the convergence of uncertain parameters to some constant values. The computer simulation results endorse the theoretical findings. The results of this study could be beneficial in the area of optics chaotic systems.

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Keywords

• Optics
• synchronization
• anti-synchronization
• Lyapunov stability theory
• fractional order

MSC

•  93D05
•  93C99

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