Multiswitching compound antisynchronization of four chaotic systems

Pramana: Journal of physics

AYUB KHAN^1¹  DINESH KHATTAR^2²  NITISH PRAJAPATI^3³ 

[1] Department of Mathematics, Jamia Millia Islamia, Delhi 110 025, India^1;Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 007, India^2;Department of Mathematics, University of Delhi, Delhi 110 007, India^3

关键词: Chaos synchronization;    multiswitching synchronization;    compound synchronization;    Lyapunov stability theory;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Based on three drive–one response system, in this article, the authors investigate a novel synchronization scheme for a class of chaotic systems. The new scheme, multiswitching compound antisynchronization (MSCoAS), is a notable extension of the earlier multiswitching schemes concerning only one drive–one response system model. The concept of multiswitching synchronization is extended to compound synchronization scheme such that the statevariables of three drive systems antisynchronize with different state variables of the response system, simultaneously. The study involving multiswitching of three drive systems and one response system is first of its kind. Various switched modified function projective antisynchronization schemes are obtained as special cases of MSCoAS, for a suitable choice of scaling factors. Using suitable controllers and Lyapunov stability theory, sufficient condition is obtained to achieve MSCoAS between four chaotic systems and the corresponding theoretical proof is given.Numerical simulations are performed using Lorenz system in MATLAB to demonstrate the validity of the presented method.

【 授权许可】

CC BY