PERIOD CONTROL OF CHAOTIC SYSTEMS BY OPTIMIZATION

We introduce and implement a method of control based on optimization. An error function, which is a measure of deviation from the desired ti me evolution (periodic motion), is constructed. The error function is then minimized along the trajectory in order to stabilize an unstable periodic orbit. The process of optimization is not arbitrary but const rained to the dynamics. No specific knowledge of the desired state of the system is required. We also demonstrate how orbits of ''high'' per iod are similarly controlled.