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Anti-synchronization and intermittent anti-synchronization of two identical hyperchaotic Chua systems via impulsive control

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Abstract

This work is concerned with anti-synchronization and intermittent anti-synchronization of two identical hyperchaotic Chua systems using an impulsive control technique. Sufficient condition of anti-synchronization is derived from Lyapunov stability theory, and numerical simulation results are presented to demonstrate the effectiveness of the proposed anti-synchronization scheme. In addition, we report an interesting phenomenon: when the second state of the response system is controlled via impulse, there exist narrow regions of the impulsive control gain, where intermittent anti-synchronization can occur.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China

    Hong-Li Li, Yao-Lin Jiang & Zuo-Lei Wang

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  1. Hong-Li Li
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  2. Yao-Lin Jiang
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  3. Zuo-Lei Wang
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Correspondence to Yao-Lin Jiang.

Additional information

This work is supported by the National Natural Science Foundation of China (Grant No. 11371287, 11472238), the International Science and Technology Cooperation Program of China (Grant No. 2010DFA14700) and the Xinjiang Introduction Plan Project of High Level Talents.

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Li, HL., Jiang, YL. & Wang, ZL. Anti-synchronization and intermittent anti-synchronization of two identical hyperchaotic Chua systems via impulsive control. Nonlinear Dyn 79, 919–925 (2015). https://doi.org/10.1007/s11071-014-1711-8

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  • DOI: https://doi.org/10.1007/s11071-014-1711-8

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