Control of chaotic bonhoeffer-van der pol equation
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    Abstract:

    According to the delayed feedback control method and the phase space compression method, an improved method of delayed feedback scheme is proposed, which takes phase space compression as restriction for state variables in delayed feedback control. The method is testified in Bonhoeffer-van der Pol system, it is indicated that: the chaotic system with only one chaotic attractor can be controlled into a desired periodic orbit immediately. Comparing with Pyragas's method, the improved method reduces recovery time. For a system with double attractors, it can be stabilized simply into a desired periodic orbit embeded in different attractor by using appropriate the phase space limiter.

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History
  • Received:August 01,2004
  • Revised:September 02,2004
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