Control of Spiral Waves and Spatiotemporal Chaos by Stochastic and Asymmetrical Mutual Coupling

Abstract

In this paper, the stochastic and asymmetrical coupling method to effectively suppress spiral waves and spatiotemporal chaos is proposed. Numerical simulation indicates that the control effect was affectted by the paramters coupling strengh and stochastic coupling ratio. It is confirmed that two systems can achieve complete synchronization via the computation of the Pearson's coefficient. The two different systems can achieve phase synchronization in a certain coupling strength and random coupling probability, which is validated by mean instantaneous phase difference.