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Solitary states in spiking oscillators with higher-order interactions

Year: 2025
Type: article
Abstract: We study a system of globally coupled FitzHugh-Nagumo oscillators with pairwise and second-order interactions, showing that the presence of higher-order interactions substantially affects the character of the transition between synchronous and asynchronous states driven by changes in coupling strength. In particular, we demonstrate that, around the synchronization transition, solitary states emerge due to the presence of second-order interactions. We also show that, in contrast to the phenomenology observed in systems of phase oscillators, at low fixed pairwise coupling strengths, solitary states appear for both transition directions as the second-order interaction strength is varied, whereas for higher couplings they only occur in the forward direction, with the backward one characterized by explosive desynchronization.
DOI: 10.1103/xtgc-f766
Authors: Vladimir V. Semenov, Subhasanket Dutta, Stefano Boccaletti, Charo I. del Genio, Sarika Jalan, Anna Zakharova
Institutions: Saratov State University, Indian Institute of Technology Indore, North University of China, Ningbo University of Technology, Institute for Complex Systems, Trakia University, Humboldt-Universität zu Berlin, Bernstein Center for Computational Neuroscience Berlin
Language: English
Open Access status: green
OpenAlex ID: W4413927768
FWCI: 1.763
Cites: 32
Cited by: 4
Related to: 10