Control and Synchronization of a Novel Realizable Nonlinear Chaotic System

Fractal and Fractional

article

Mohammed Almuzaini¹  Abdullah Alzahrani¹ 

[1] Faculty of Science, King Abdulaziz University;Jamoum College, Umm Al-Qura University

关键词: chaotic system;    chaos control;    synchronization;    Lyapunov exponents;   

DOI  :  10.3390/fractalfract7030253

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

The study proposes a novel chaotic system with a cubic non-linear term. Different system characteristics are investigated including equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents. Also, the electronic circuit and Signal flow graph of the system are carried out to show the applicability of the chaotic system. Lyapunov stability theorem converts the system’s chaotic behavior to unstable trivial fixed point. The study also focuses on demonstrating complete synchronization between two similar novel chaotic systems. According to Lyapunov stability theorem, simple application in secure communication was developed by employing the chaos synchronization results. Numerical simulations for the systems are performed for establishing the synchronization strategy effectiveness and proposed control.

【 授权许可】

CC BY