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Controlling chaos and response of dynamical system by synchronization

Author

Listed:
  • Qin, Weiyang
  • Yang, Yongfen
  • Kang, Zhaohui
  • Ren, Xingmin

Abstract

We presented a method to control chaos in dynamical system by synchronizing the response to the stable periodic motion of drive system. Through varying parameters, the response of dynamical system can go to a stable period. We prove that the driven system can reach synchronization with the parameter varied system. From the simulation of Duffing system, it can be seen that the method is effective and easily realized. The presented method also can be used to control the response in dynamical system from large amplitude to small amplitude.

Suggested Citation

  • Qin, Weiyang & Yang, Yongfen & Kang, Zhaohui & Ren, Xingmin, 2009. "Controlling chaos and response of dynamical system by synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1466-1473.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1466-1473
    DOI: 10.1016/j.chaos.2009.03.053
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    References listed on IDEAS

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    1. Xie, Lingli & Teo, Kok-lay & Zhao, Yi, 2007. "Chaos synchronization for continuous chaotic systems by inertial manifold approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 234-245.
    2. Yau, Her-Terng, 2007. "Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1357-1365.
    3. Shahverdiev, E.M. & Nuriev, R.A. & Hashimova, L.H. & Huseynova, E.M. & Hashimov, R.H. & Shore, K.A., 2008. "Complete inverse chaos synchronization, parameter mismatches and generalized synchronization in the multi-feedback Ikeda model," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 211-216.
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