ORIGINAL RESEARCH article
Front. Netw. Physiol.
Sec. Network Physiology of Exercise
Volume 5 - 2025 | doi: 10.3389/fnetp.2025.1582297
This article is part of the Research TopicSelf-Organization of Complex Physiological Networks: Synergetic Principles and Applications — In Memory of Hermann HakenView all 5 articles
Collective behavior of higher-order globally coupled oscillatory network in response to positive and negative couplings
Provisionally accepted
- 1Shaanxi University of Science and Technology, Xi'an, China
- 2Xi'an Jiaotong University, Xi'an, China
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Collective behavior is among the most fascinating complex dynamics in coupled networks with application in various fields. Recent works have shown that higher-order interactions widely exist in complex systems. On the other hand, the positive couplings among nodes, as the majority of studies assumed, as well as the negative couplings are both very common in real-world systems, like physiological networks. Positive coupling (excitatory coupling) promotes synchronization and drives excitatory synaptic transmission between neurons.Meanwhile, negative coupling (inhibitory coupling) inhibits synchronization and sustains inhibitory synaptic transmission between neurons. Since both the high-order coupling patterns and the different coupling patterns affect strongly on the synchronous performance of complex system, this paper develops a globally coupled higher-order oscillatory system model that incorporates both positive and negative couplings. It is shown that, in the case of positive couplings, the second-order interaction has a negligible impact on the synchronization capability of the network within a certain range. In contrast, the higher-order network with purely negative couplings exhibits asynchronous states for any values of second-order interactions. However, the synchronous region gradually shrinks with the increase of the negative coupling in the case with mixed couplings. This indicates a prominent role of coupling patterns on the onset of globally higher-order network synchronization.
Keywords: Complex Network, Higher-order interactions, Network physiology, Synchronous behavior, coupling patterns
Received: 24 Feb 2025; Accepted: 19 Jun 2025.
Copyright: © 2025 Yang, Li and Jiang. 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: Jun Jiang, Xi'an Jiaotong University, Xi'an, 710049, China
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