Synchronization Phenomena on Asymmetrical Globally Coupled Chaotic Systems Using Circuits or Maps

In our previous study, we observed the interesting phenomena on asymmetrical chaotic coupled systems. It is that the ratio of synchronization time of the one subsystem group increases in spite of increasing parameter mismatches in the other subsystem. In this study, an asymmetrical globally coupled maps is proposed and investigated, in order to explain the these phenomena. Asymmetry of the system is realized by using two parameters. In the case of five maps, it was confirmed that ratios of synchronization time of maps using one parameter set are increased by increasing a parameter mismatch rate of the other maps group. We consider that this result is corresponding to results of previous study.