Anti-control of Hopf bifurcation in the new chaotic system with two stable node-foci

نویسندگان

  • Zhouchao Wei
  • Qigui Yang
چکیده

In order to further understand a complex 3D dynamical system showing strange chaotic attractors with two stable node-foci near Hopf bifurcation point, we propose nonlinear control scheme to the system and the controlled system, depending on five parameters, can exhibit codimension one, two, and three Hopf bifurcations in a much larger parameter regain. The control strategy used keeps the equilibrium structure of the chaotic system and can be applied to degenerate Hopf bifurcation at the desired location with preferred stability. 2010 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 217  شماره 

صفحات  -

تاریخ انتشار 2010