Generalized function projective synchronization of identical and nonidentical chaotic systems

Volume 35, Issue 1, pp 109--119 https://dx.doi.org/10.22436/jmcs.035.01.08

Publication Date: April 18, 2024 Submission Date: March 02, 2024 Revision Date: March 10, 2024 Accteptance Date: March 29, 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 generalized function projective synchronization of two identical Lü-Chen-Cheng four-scroll chaotic systems is satisfied. Also, we studied the generalized function projective synchronization between two nonidentical chaotic systems, Lü-Chen-Cheng four-scroll chaotic system and new chaotic system, with known parameters. To prove the solutions of the error system that are asymptotic stable, we based on the Lyapunov theorem of stability. The proposed schemes were evaluated through numerical experiments to showcase their effectiveness and impact.

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Keywords

• Chaotic system
• generalized function projective synchronization
• nonidentical chaotic systems

MSC

•  37N35
•  34D06
•  34H10

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