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Controlling hopf bifurcations: Discrete-time systems

Author

Listed:
  • Guanrong Chen
  • Jin-quing Fang
  • Yiguang Hong
  • Huashu Qin

Abstract

Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the methodology and to verify the theoretical results.

Suggested Citation

  • Guanrong Chen & Jin-quing Fang & Yiguang Hong & Huashu Qin, 2000. "Controlling hopf bifurcations: Discrete-time systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 5, pages 1-5, January.
    • Handle: RePEc:hin:jnddns:201496
    DOI: 10.1155/S1026022600000364
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    Cited by:

    1. Jiang, Y.D. & Zhang, W. & Zhang, Y.F. & Bi, Q.S., 2024. "Bursting oscillations in coupling Mathieu-van der Pol oscillator under parametric excitation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Wen, Guilin & Xu, Daolin & Xie, Jianhua, 2005. "Controlling Hopf bifurcations of discrete-time systems in resonance," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1865-1877.
    3. Wang, Jiang & Chen, Liangquan & Fei, Xianyang, 2007. "Analysis and control of the bifurcation of Hodgkin–Huxley model," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 247-256.

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