The oscillation-mode dynamics in excitable complex networks: Transfer and transition

In this paper, we extensively investigate the oscillation-mode dynamics in excitable homogeneous random networks (EHRNs) and the corresponding determinants. It is exposed that, at a certain set of system parameters, there exists two kinds of oscillation modes, i.e. , the major oscillation mode (MajOM) and the minor oscillation mode (MinOM). Moreover, the dynamics of these two mode groups can be effectively impacted by the system parameters, and two types of oscillation-mode dynamics, i.e. , transfer and transition, have been revealed explicitly. Importantly, the minimum Winfree loop (MWL) and the excitation threshold have been exposed as the determinants of oscillation-mode dynamics in EHRNs, and can respectively induce the oscillation-mode transfer and transition. We do hope our results will shed light on a deeper understanding of oscillation-mode dynamics and corresponding determinants in some specific physiological processes of actual biological systems and will have a useful impact in related fields.