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Impulsive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators

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  • Zhou, Jin
  • Cheng, Xuhua
  • Xiang, Lan
  • Zhang, Yecui

Abstract

This paper is mainly concerned with the issues of impulsive control and synchronization of chaotic VDPL systems consisting of a Van der Pol oscillator coupled to a linear oscillator. Based on impulsive control theory of dynamical systems, some simple yet less conservative criteria ensuring impulsive stabilization and synchronization of the VDPL systems are derived. Furthermore, an allowable upper bound of impulsive intervals for stabilizing and synchronizing such VDPL systems is given. Subsequently, numerical results are presented to demonstrate the effectiveness of the proposed control techniques.

Suggested Citation

  • Zhou, Jin & Cheng, Xuhua & Xiang, Lan & Zhang, Yecui, 2007. "Impulsive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 607-616.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:607-616
    DOI: 10.1016/j.chaos.2006.01.054
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    References listed on IDEAS

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    6. Jing, Zhujun & Yang, Zhiyan & Jiang, Tao, 2006. "Complex dynamics in Duffing–Van der Pol equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 722-747.
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    8. Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2006. "Synchronization of the unified chaotic systems via active control," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1292-1297.
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