Parameters identification and dual synchronization between different chaotic and hyperchaotic systems

Volume 18, Issue 4, pp 398--410 http://dx.doi.org/10.22436/jmcs.018.04.02

Publication Date: October 25, 2018 Submission Date: November 28, 2017 Revision Date: June 17, 2018 Accteptance Date: September 19, 2018

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Authors

A. Othman Almatroud - Mathematics Department, Faculty of Science, University of Hail, Kingdom of Saudi Arabia. M. S. M. Noorani - School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia. M. Mossa Al-sawalha - Mathematics Department, Faculty of Science, University of Hail, Kingdom of Saudi Arabia.

Abstract

This paper investigates the adaptive dual synchronization of completely different four chaotic and hyperchaotic systems with unknown parameters. Based on the Lyapunov stability theory, an efficient adaptive synchronization controller is constructed that converges the synchronization error signals to the origin with sufficient transient speed. Suitable adaptive laws of unknown parameters are designed that converged the estimated values of the unknown parameters to the true values of the systems parameters. Two numerical examples are presented and simulation results are derived to illustrate the effectiveness of the proposed dual synchronization approach.

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Keywords

• Chaos
• dual synchronization
• adaptive control
• unknown parameters
• Lyapunov stability theory

MSC

•  93Dxx
•  93Cxx

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