Exploring the control of spiral waves and spatiotemporal chaos by stochastic and cross-coupling method

摘要

In this paper, we propose the stochastic and unidirectional cross-coupled control method between two-layer excitable media to suppress the spiral waves and spatiotemporal chaos. Four types of the drive-response system in such two-layer excitable media are studied. By performing many simulations, results illustrate the spiral waves and spatiotemporal chaos can be controlled to the desired target states like the target waves and traveling waves. Patterns obtained are obviously different from those of the one-to-one coupling model. Based on the method proposed by Henry, we have carefully studied the generalized synchronization between the drive and response system with the stochastic and cross-connecting points via amplitude analysis and computing Poisson coefficient. Moreover, there also exists the frequency locking phenomenon.