Multiple transition of synchronization by interaction of external and internal forces in bursting oscillator networks

Abstract

A bursting oscillator network is a typical model of a biological system, and analyzing its dynamics is important for understanding biological phenomena and their functions. In this study, we investigate the interaction of the dynamics of noise perturbation, periodic force, and coupling strength in bursting oscillator networks. We numerically analyze the effect of the interaction on the complete synchronization of the network. It was found that appropriate interactions among these forces make it possible to synchronize the system with a small amount of perturbations. It was also observed that multiple transitions occur between synchronization and de-synchronization with regard to the noise strength.