Work

Dynamics of large oscillator populations with random interactions

Year: 2024

Type: article

Abstract: We explore large populations of phase oscillators interacting via random coupling functions. Two types of coupling terms, the Kuramoto-Daido coupling and the Winfree coupling, are considered. Under the assumption of statistical independence of the phases and the couplings, we derive reduced averaged equations with effective non-random coupling terms. As a particular example, we study interactions defined via the coupling functions that have the same shape but possess random coupling strengths and random phase shifts. While randomness in coupling strengths just renormalizes the interaction, a distribution of the phase shifts in coupling reshapes the coupling function.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0213212

Authors: Arkady Pikovsky, Lev A. Smirnov

Institutions: University of Potsdam, N. I. Lobachevsky State University of Nizhny Novgorod

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Ministry of Education and Science of the Russian Federation, Russian Science Foundation

Awards: G4214005361, G5468801208