A method of controlling spatiotemporal chaos in coupled map latticesProject supported by the Science Foundation of Education Bureau of Guangxi Zhuang Autonomous Region, China (Grant No. 9816940).

Abstract

We propose a method that allows one to control spatiotemporal chaos by applying pulses proportional to the system variables and compressing the phase space of strange attractor in nonlinear system. The method is illustrated by the coupled map lattices at different strengths of coupling. Various numerical results are given. The advantage of this method is that it does not need to know any previous knowledge of the system dynamics.