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Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters

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  • Al-Sawalha, Ayman

Abstract

This work is devoted to investigating the anti-synchronization between two novel different chaotic systems. Two different anti-synchronization methods are proposed. Active control is applied when system parameters are known and adaptive control is employed when system parameters are uncertain or unknown. Controllers and update laws of parameters are designed based on Lyapunov stability theory. In both cases, sufficient conditions for the anti-synchronization are obtained analytically. Finally, a numerical simulations is presented to show the effectiveness of the proposed chaos anti-synchronization schemes.

Suggested Citation

  • Al-Sawalha, Ayman, 2009. "Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1926-1932.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1926-1932
    DOI: 10.1016/j.chaos.2009.03.100
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    References listed on IDEAS

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    1. Molaei, M.R. & Umut, Ömür, 2008. "Generalized synchronization of nuclear spin generator system," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 227-232.
    2. Wu, Xianyong & Zhang, Hongmin, 2009. "Synchronization of two hyperchaotic systems via adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2268-2273.
    3. Yan, Jianping & Li, Changpin, 2005. "Generalized projective synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1119-1124.
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    1. Chen, Qiang & Ren, Xuemei & Na, Jing, 2011. "Robust anti-synchronization of uncertain chaotic systems based on multiple-kernel least squares support vector machine modeling," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1080-1088.

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