A Numerical Simulation on Coherence Resonance and Stochastic Synchrony

Discussed a noise-driven excitable system both analytically and numerically. By analyzing the density distribution of trajectories, we find that the noise can induce the system to forward quite regular dynamics, the new phenomena related to the potential limit cycle are found for the first time. There exist stochastic synchronization in the case of coupling: for different initial conditions, there is an interval of the noise intensity in which the two subsystems reach synchrony from the view of probability distribution, for coupled two identical FHN systems, the synchronization takes place only for small noise intensities.