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Controlling chaos with periodic parametric perturbations in Lorenz system

Author

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  • Wu, Zhengmao
  • Xie, Jianying
  • Fang, Yanyan
  • Xu, Zhenyuan

Abstract

Using periodic parametric perturbation to control chaos in Lorenz system will be finished in this paper. Based on the chaotic perturbation criteria—Melnikov method, a appropriate parametric condition for controlling chaos will be given out, which guide the system from chaotic motion to low-periodic motion. Some results of the numerical simulation are also explained clearly by rigorous analysis.

Suggested Citation

  • Wu, Zhengmao & Xie, Jianying & Fang, Yanyan & Xu, Zhenyuan, 2007. "Controlling chaos with periodic parametric perturbations in Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 104-112.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:104-112
    DOI: 10.1016/j.chaos.2005.10.060
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    Cited by:

    1. Belokolos, E.D. & Kharchenko, V.O. & Kharchenko, D.O., 2009. "Chaos in a generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2595-2605.
    2. Zhang, Zhonghua & Peng, Jigen & Zhang, Juan, 2009. "Melnikov method to a bacteria-immunity model with bacterial quorum sensing mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 414-420.

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