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Anti-synchronization in different chaotic systems

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  • Li, Guo-Hui
  • Zhou, Shi-Ping

Abstract

Based on the active control theory, anti-synchronization between two different chaotic systems is investigated. Through rigorous mathematical theory, the sufficient condition is drawn for the stability of the error dynamics, where the controllers are designed by using the sum of the relevant variables in chaotic systems. Numerical simulations are performed for the Lorenz–Lü system and Lorenz–Chen system to demonstrate the effectiveness of the proposed control strategy.

Suggested Citation

  • Li, Guo-Hui & Zhou, Shi-Ping, 2007. "Anti-synchronization in different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 516-520.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:516-520
    DOI: 10.1016/j.chaos.2006.05.076
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    Cited by:

    1. 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.
    2. Cai, Na & Jing, Yuanwei & Zhang, Siying, 2009. "Generalized projective synchronization of different chaotic systems based on antisymmetric structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1190-1196.
    3. Duan, Zhisheng & Wang, Jinzhi & Yang, Ying & Huang, Lin, 2009. "Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 848-861.
    4. Singh, Piyush Pratap & Singh, Jay Prakash & Roy, B.K., 2014. "Synchronization and anti-synchronization of Lu and Bhalekar–Gejji chaotic systems using nonlinear active control," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 31-39.
    5. Li, Wenlin & Chen, Xiuqin & Zhiping, Shen, 2008. "Anti-synchronization of two different chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3747-3750.
    6. El-Dessoky, M.M., 2009. "Synchronization and anti-synchronization of a hyperchaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1790-1797.

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