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Amplitude control of limit cycles in Langford system

Author

Listed:
  • Cui, Yan
  • Liu, Suhua
  • Tang, Jiashi
  • Meng, Yimin

Abstract

In this paper, we investigate the control of amplitude of limit cycle emerging from the Hopf bifurcation in Langford system under a nonlinear feedback controller. Explicit nonlinear control formulae and amplitude approximations in terms of control gains are derived from the center manifold theory and normal form reduction. The formulae and expressions for the Langford system present a convenient approach to obtain an effective analytical control and predict the amplitude of limit cycles in this system.

Suggested Citation

  • Cui, Yan & Liu, Suhua & Tang, Jiashi & Meng, Yimin, 2009. "Amplitude control of limit cycles in Langford system," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 335-340.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:335-340
    DOI: 10.1016/j.chaos.2008.12.005
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    References listed on IDEAS

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    1. 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.
    2. Wang, S. & Yu, P., 2005. "Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1317-1335.
    3. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
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