Abstract

The stabilization of unstable periodic orbits embedded in a chaotic attractor has received great attention recently. In the original algorithm proposed by Ott, Grebogi and Yorke [1] (OGY) control is achieved by means of small perturbations of a system parameter which are proportional to the deviation of the system from the unstable fixed point. A related but different technique to control a chaotic system is the occasional proportional feedback technique (OPF) [2]. Experiments demonstrating the control of chaos in a multimode solid state laser using this technique have been reported recently [3]. Here we study the theoretical model for such laser and compare with the experimental results.

© 1992 Optical Society of America