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Anti-synchronization of two different chaotic systems

Author

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  • Li, Wenlin
  • Chen, Xiuqin
  • Zhiping, Shen

Abstract

In this paper, the anti-synchronization of two different chaotic systems is investigated. On the basis of a nonlinear control scheme and Lyapunov theory, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed by using the sum of the relevant variables in chaotic systems. Numerical simulations are performed for the Genesio–Rossler system to demonstrate the effectiveness of the proposed control strategy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3747-3750
    DOI: 10.1016/j.physa.2008.02.011
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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.
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    Cited by:

    1. Alexandre Larouche & Dorothée Boccanfuso & Mircea Trandafir, 2011. "The impact of the PDEF on the labour market outcomes of «high-skilled» workers in Senegal," EcoMod2011 3572, EcoMod.
    2. Sakthivel, R. & Anbuvithya, R. & Mathiyalagan, K. & Ma, Yong-Ki & Prakash, P., 2016. "Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 213-228.
    3. 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.

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    Keywords

    Chaotic system; Anti-synchronization;

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