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On anti-synchronization of chaotic systems via nonlinear control

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  • Mossa Al-sawalha, M.
  • Noorani, M.S.M.

Abstract

Based on the nonlinear control and Lyapunov stability theory, the anti-synchronization between two identical and different chaotic systems is investigated, where the antisynchronization can be characterized by the vanishing of the sum of relevant variables in chaotic systems, such that the Lü system is controlled to be the Lorenz system. Theoretical analysis and numerical simulations are shown to verify the results.

Suggested Citation

  • Mossa Al-sawalha, M. & Noorani, M.S.M., 2009. "On anti-synchronization of chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 170-179.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:170-179
    DOI: 10.1016/j.chaos.2008.11.011
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    References listed on IDEAS

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    1. Li, Guo-Hui & Zhou, Shi-Ping, 2007. "Anti-synchronization in different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 516-520.
    2. Zhang, Qunjiao & Lu, Jun-an, 2008. "Chaos synchronization of a new chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 175-179.
    3. Park, Ju H., 2005. "Adaptive synchronization of hyperchaotic Chen system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 959-964.
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    5. Vincent, U.E. & Laoye, J.A., 2007. "Synchronization, anti-synchronization and current transports in non-identical chaotic ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 230-240.
    6. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    7. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    8. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
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    Cited by:

    1. Liang Chen & Chengdai Huang & Haidong Liu & Yonghui Xia, 2019. "Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order," Mathematics, MDPI, vol. 7(6), pages 1-16, June.
    2. J. Humberto Pérez-Cruz & Pedro A. Tamayo-Meza & Maricela Figueroa & Ramón Silva-Ortigoza & Mario Ponce-Silva & R. Rivera-Blas & Mario Aldape-Pérez, 2019. "Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, July.

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