Modified function projective combination synchronization of hyperchaotic systems

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• 作者：K SEBASTIAN SUDHEER ; M SABIR
• 关键词：Combination hyperchaotic system ; modified function projective combination synchronization ; adaptive control ; hyperchaotic Lorenz system ; hyperchaotic Lu system ; 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 work, a novel combination synchronization scheme in which synchronization of a new combination hyperchaotic drive system formed by combining state variables of the original drive system with appropriate scaling factors with a response hyperchaotic system is considered. A self-combination system is constructed from hyperchaotic Lorenz system by combining state variables of the Lorenz system with appropriate scaling factors. Modified function projective synchronization between the newly constructed combination hyperchaotic Lorenz system and hyperchaotic Lu system is investigated using adaptive method. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the state of two systems as modified function projective synchronized. Numerical simulations are done to show the validity and effectiveness of the proposed synchronization scheme.