Control of spatio-temporal on–off intermittency in random driving diffusively coupled map lattices

In this paper, we propose feedback methods for controlling spatio-temporal on–off intermittency which is an aperiodic switching between an ‘‘off” state and an ‘‘on” state. Diffusively coupled map lattice with spatially non-uniform random driving is used for showing spatio-temporal on–off intermittency. For this purpose, we apply three different feedbacks. First, we use a linear feedback which is a simple method but has a long transient time. To overcome this problem, two nonlinear feedbacks based on prediction strategy are proposed. An important advantage of the methods is that the feedback signal is vanished when control is realized. Simulation results show that all methods have suppressed the chaotic behavior.