On-off Intermittency in Locally Coupled Maps.

摘要

On-o intermittency refers to the special pattern of time series which experience long time periods of calm behavior followed by short periods at bursting. In particular, the Ricker Map, which is a model of the discrete evolution of the expected population of one species at a given generation is implemented to generate on-o intermittency. The on-o intermittency generated by the Ricker Map also exhibits the main characteristics found in other dynamical systems. On-o intermittency in a locally connected Ricker Map is the main focus here. The signal transfer between adjacent maps changes the stability condition compared with that of a single map, which leads to different conditions for on- o intermittency in locally coupled Ricker maps. The evolution and signal transfer in locally connected maps is carefully studied using a simple continuous model which contains similar structure and generates on-o intermittency. Through this analysis, it is found that a specific map in a locally connected structure receives positively correlated signals from the adjacent maps, which generates more on-stages compared with a single map which has the same parameters.