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Stability analysis and modified projective synchronization of fractional-order hyperchaotic dynamical systems using nonlinear controllers
International Journal of Modern Physics C ( IF 1.9 ) Pub Date : 2021-02-27 , DOI: 10.1142/s0129183121500819
S. Saha Ray 1
Affiliation  

This paper deals with the modified projective synchronization between two fractional-order four-dimensional (4D) hyperchaotic systems. Based on the Lyapunov stability theory, a new controller for the synchronization of two fractional-order hyperchaotic systems is developed. The stability analysis of the error dynamics system is performed by the fractional-order Lyapunov direct method alongwith Routh–Hurwitz stability criterion. Numerical simulations are presented to demonstrate the validity and verify the effectiveness of the proposed synchronization scheme.

中文翻译:

使用非线性控制器的分数阶超混沌动力系统的稳定性分析和修正投影同步

本文处理两个分数阶四维 (4D) 超混沌系统之间的修正投影同步。基于Lyapunov稳定性理论,开发了一种用于两个分数阶超混沌系统同步的新控制器。误差动力学系统的稳定性分析采用分数阶 Lyapunov 直接法和 Routh-Hurwitz 稳定性准则进行。数值模拟被提出来证明有效性和验证所提出的同步方案的有效性。
更新日期:2021-02-27
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