Multiswitching combination–combination synchronization of chaotic systems
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- 作者：AYUB KHAN ; DINESH KHATTAR ; NITISH PRAJAPATI
- 关键词：Chaos synchronization ; multiswitching synchronization ; nonlinear control ; Lyapunov stability theory
- 刊名：Pramana
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：88
- 期：3
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics, general; Astronomy, Observations and Techniques; Astrophysics and Astroparticles;
- 出版者：Springer India
- ISSN：0973-7111
- 卷排序：88
文摘
In this paper, a novel synchronization scheme is investigated for a class of chaotic systems. The multiswitching 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.