Stability Transformation of Unstable Periodic Orbits of a Simple Piecewise Linear Circuit

Abstract

In this report, we consider the stability transformation of Unstable Periodic Orbits of a simple piecewise linear chaos circuit. In previous work, we proposed the controlling method which transforms stability of any fixed points embedded on the chaos attractor without the information of location. The method can be extend to the stabilization of the Unstable Periodic Orbits, but there was a problem of weakness in the noise with longer period. Then, we propose the new method, and confirm theoretically the stability transformation of Unstable Periodic Orbits by the proposal method.