Control and Function Projective Synchronization of 3D Chaotic System

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DOI: https://doi.org/10.28924/2291-8639-22-2024-217
Published: Nov 27, 2024
Cite as:
M. M. El-Dessoky, Ebraheem Alzahrani, Z. A. Abdulmannan, Control and Function Projective Synchronization of 3D Chaotic System, Int. J. Anal. Appl., 22 (2024), 217.

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M. M. El-Dessoky, Ebraheem Alzahrani, Z. A. Abdulmannan

Abstract

In this paper, we study a linear feedback control to dampen the chaotic behavior of a 3D dynamic system. Based on the Routh-Hurwitz criterion, the conditions are determined to achieve control. Furthermore, function projective synchronization (FPS) between two identical 3D chaotic systems is demonstrated. The proof of asymptotic stability of solutions for the error dynamical system depends on the negative eigenvalues of the system. Additionally, numerical simulations are utilized to demonstrate the impact and effectiveness of the proposed methods.

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