ORIGINAL RESEARCH article
Front. Netw. Physiol.
Sec. Networks of Dynamical Systems
Volume 5 - 2025 | doi: 10.3389/fnetp.2025.1613288
This article is part of the Research TopicSelf-Organization of Complex Physiological Networks: Synergetic Principles and Applications — In Memory of Hermann HakenView all 7 articles
Competitive Oscillatory Dynamics in Excitable Neuron Networks
Provisionally accepted
- 1Huaqiao University, Quanzhou, China
- 2Institute of Physics and Optoelectronics Technology, Baoji University of Arts and Sciences, Baoji, China
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Collective dynamics of networks of excitable neurons can be considered as the emergence of ordering from microscopic self-organization at the macroscopic scale. Sustained oscillation can emerge on networks of neurons even if a single neuron is dynamical excitable and nonoscillatory. Fundamental ingredients of networks such as loops, trees, and hubs, play distinct roles in supporting, propagating and impeding sustained oscillations. In this paper, we explore the mechanism of collective self-sustained oscillations on neuron networks by analyzing the functions of different topologies in shaping the oscillatory patterns on excitable neuron networks.The Winfree loops are revealed to be responsible for generating collective oscillations as the oscillation core, and other neurons act as the propagating paths. The existence of large numbers of loops in a network indicates potential competitions of the formation of collective oscillatory dynamics. The roles of loop-loop competition in homogeneous networks and loop-hub competition in heterogeneous networks are extensively discussed.
Keywords: self-sustained oscillation, excitable neuron network, Winfree loop, loop-loop competition, loop-hub competition
Received: 17 Apr 2025; Accepted: 14 Jul 2025.
Copyright: © 2025 Zheng, Yan, Li, Liu, Wang and Qian. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Zhigang Zheng, Huaqiao University, Quanzhou, China
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