Control of a kind of autonomovs system to Hopf bifurcation and amplitude of limit cycle based on time delays feedback
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    Abstract:

    A typical dynamics system, van der PolDuffing equation with two time delays,was studied. The key aim was to study amplitude control of limit cycle in van der PolDuffing system by using time delays feedback controller. Perturbation method was used to obtain the relation equation between amplitude and timedelays. Based on the equation, the controlling of time delays to amplitude were discussed. The stability of normal solution was analyzed, and the Hopf bifurcation condition of the controlled system was obtained. Numerical method was utilized to testify the theoretic results,which indicated the numerical results were in good agreement with the theoretical results.

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  • Received:July 19,2005
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