Control of spiral waves and spatiotemporal chaos via synchronization in the double-layer stochastic coupling networks

By randomly selecting the linking points in double-layer networks, synchronization phenomena in the modified FitzHugh-Nagumo-type equation will be emerged. By numerical simulation and analysis, results indicate that the synchronization rate has much to do with the selectivity of coupled points on networks, which is different from symmetric coupling by point to point. Moreover, the phase synchronization and complete synchronization occur successively, the spiral waves and spatiotemporal chaos will be suppressed.