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Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System

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  • Ping Cai
  • Jia-Shi Tang
  • Zhen-Bo Li

Abstract

Controlling Hopf bifurcation of a new modified hyperchaotic Lü system is investigated in this paper. A hybrid control strategy using both state feedback and parameter control is proposed. The control strategy realizes the delay of Hopf bifurcation. Furthermore, by applying the normal form theory, the stability of the bifurcation is determined. Numerical simulation results are given to support the theoretical analysis.

Suggested Citation

  • Ping Cai & Jia-Shi Tang & Zhen-Bo Li, 2015. "Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-6, March.
    • Handle: RePEc:hin:jnlmpe:614135
    DOI: 10.1155/2015/614135
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