Rigorous Investigations of Periodic Orbits in an Electronic Circuit by Means of Interval Methods

نویسنده

  • Zbigniew Galias
چکیده

In this paper we use the combination of the global interval Newton method and the method of close returns for detection and proving the existence of periodic orbits in a continuous–time chaotic dynamical system. We consider a simple third order electronic circuit for which we prove the existence of several unstable periodic orbits. We also find out which of these periodic orbits are symmetric and discuss limitations of this technique.

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تاریخ انتشار 2007