Work

Higher-order interactions lead to ‘reluctant’ synchrony breaking

Year: 2024

Type: article

Abstract: To model dynamical systems on networks with higher-order (non-pairwise) interactions, we recently introduced a new class of ordinary differential equations (ODEs) on hypernetworks. Here, we consider one-parameter synchrony breaking bifurcations in such ODEs. We call a synchrony breaking steady-state branch ‘reluctant’ if it is tangent to a synchrony space, but does not lie inside it. We prove that reluctant synchrony breaking is ubiquitous in hypernetwork systems, by constructing a large class of examples that support it. We also give an explicit formula for the order of tangency to the synchrony space of a reluctant steady-state branch.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2023.0945

Authors: Sören von der Gracht, Eddie Nijholt, Bob Rink

Institutions: Paderborn University, Imperial College London, Vrije Universiteit Amsterdam

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Funders: Deutsche Forschungsgemeinschaft, Instituto Serrapilheira

OpenAlex ID: W4404213169

FWCI: 0.505

Cites: 37

Cited by: 3

Related to: 10