Abstract

It has already been verified that the OGY method is useful for confining chaotic motion such as the Henon map or Lorentz attractor to a periodic orbit that is arbitrarily chosen. In this paper, chaos of a forced pendulum and its control by the OGY method are discussed. The forced pendulum has more complicated chaotic motion than the above-mentioned chaos. First, periodic orbits of the forced pendulum are explored in order to find desired periodic orbits and saddles on a Poincare section, the OGY method is applied, and then some aspects of the OGY method on the forced pendulum are presented.

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