Multiswitching combination–combination synchronization of chaotic systems

Pramana

AYUB KHAN²  NITISH PRAJAPATI3³  DINESH KHATTAR¹ 

[1] Department of Mathematics, Kirorimal College, University of Delhi, Delhi 110 007, India$$;Department of Mathematics, Jamia Millia Islamia, Delhi 110 025, India$$;Department of Mathematics, University of Delhi, Delhi 110 007, India$$

关键词: Chaos synchronization;    multiswitching synchronization;    nonlinear control;    Lyapunov stability theory;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, a novel synchronization scheme is investigated for a class of chaotic systems. Themultiswitching synchronization scheme is extended to the combination–combination synchronization scheme such that the combination of state variables of two drive systems synchronize with different combination of state variables of two response systems, simultaneously. The new scheme, multiswitching combination–combination synchronization (MSCCS), is a notable extension of the earlier multiswitching schemes concerning only the single drive–response system model. Various multiswitching modified projective synchronization schemes are obtained as special cases of MSCCS, for a suitable choice of scaling factors. Suitable controllers have been designed and using Lyapunov stability theory sufficient condition is obtained to achieve MSCCS between four hyperchaotic systems and the corresponding theoretical proof is given. Numerical simulations are performed to validate the theoretical results.

【 授权许可】

Unknown