Control and adaptive modified function projective synchronization of a new chaotic system

Volume 34, Issue 4, pp 394--403 https://dx.doi.org/10.22436/jmcs.034.04.06

Publication Date: April 10, 2024 Submission Date: January 22, 2024 Revision Date: February 19, 2024 Accteptance Date: February 20, 2024

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Authors

M. M. El-Dessoky - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt. E. Alzahrani - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. Z. A. Abdulmannan - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Abstract

In this paper, the feedback control technique is used to suppress the chaos of a New chaotic system. Under some conditions on the parameters of the system, the controlled system is stable. Those conditions are based on the Routh-Hurwitz criterion. In addition, the adaptive modified function projective synchronization of two New chaotic systems is satisfied. To prove the asymptotic stability of solutions for the error system, we used the Lyapunov theorem of stability. Numerical experiment results are presented to display the impact of the proposed schemes.

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Keywords

• Chaotic system
• linear feedback control
• adaptive modified function projective synchronization

MSC

•  37N35
•  34D06
•  34H10

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