Interrupted feedback perturbation method for controlling chaos

Abstract

Application of feedback perturbation is a very well-known method of controlling the chaotic dynamics of a system. All the existing feedback perturbation methods in the literature suggest applying the feedback perturbation uninterruptedly to the original system to stabilize any unstable periodic orbit embedded in a chaotic attractor. In this paper, a new time-dependent feedback perturbation method has been proposed in order to control the chaotic dynamics of any finite-dimensional map. The novelty of this proposed method is that we can apply the suggested feedback perturbation at some constant time gaps, preassigned according to our own choice.