Control of Spatiotemporal Chaos via Nonlinear Feedback

Spatially extended systems are combination of an organized ensemble of dynamical subsystems which have nonlinear behaviors. The response of their variables to any input signal can influence its spatiotemporal behavior. This paper attempts to control the dynamical response of diffusively coupled map lattice via a external input applied to each variables individually. We propose a nonlinear feedback method for controlling the spatiotemporal chaos of diffusively coupled map lattice. Controller is an on-off control which is inspired from OGY method. Simulation results show the feasibility and effectiveness of the proposed control method.