Global and Local Control of Spatiotemporal Chaos in Coupled Map Lattices

Abstract

We present a simple method, using constant pinnings, to suppress spatiotemporal chaos and achieve global control in coupled map lattice models under different situations, e.g., for uniform pinning, nonuniform pinning with regular or random distributions, and lattices with spatial heterogeneity in local dynamics and coupling strength. The method is easy to implement and does not require any a priori information of the system dynamics or explicit changes in its parameters. This method can also be used for local control of spatiotemporal dynamics, an aspect that has crucial importance in many natural systems.