Bifurcation analysis in delayed feedback Jerk systems and application of chaotic control

نویسندگان

  • Baodong Zheng
  • Huifeng Zheng
  • Ji-Huan He
چکیده

Jerk systems with delayed feedback are considered. Firstly, by employing the polynomial theorem to analyze the distribution of the roots to the associated characteristic equation, the conditions of ensuring the existence of Hopf bifurcation are given. Secondly, the stability and direction of the Hopf bifurcation are determined by applying the normal form method and center manifold theorem. Finally, the application to chaotic control is investigated, and some numerical simulations are carried out to illustrate the obtained results. 2007 Elsevier Ltd. All rights reserved.

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تاریخ انتشار 2007