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

¹ College of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences - Baoji 721007, China
² School of Systems Science, Beijing Normal University - Beijing 100875, China
³ School of Physical Science and Technology, Ningbo University - Ningbo 315211, China
⁴ Institute of Systems Science, Huaqiao University - Xiamen 361021, China
⁵ College of Information Science and Engineering, Huaqiao University - Xiamen 361021, China

^(a) qianyu0272@163.com (corresponding author)
^(b) zgzheng@hqu.edu.cn

Received: 16 April 2021
Accepted: 3 August 2021

Abstract

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.