Synchrony for Weak Coupling in the Complexified Kuramoto Model

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Abstract

We present the finite-size Kuramoto model analytically continued from real to complex variables and analyze its collective dynamics. For strong coupling, synchrony appears through locked states that constitute attractors, as for the real-variable system. However, synchrony persists in the form of complex locked states for coupling strengths K below the transition K(pl) to classical phase locking. Stable complex locked states indicate a locked subpopulation of zero mean frequency in the real-variable model and their imaginary parts help identifying which units comprise that subpopulation. We uncover a second transition at K′<K(pl) below which complex locked states become linearly unstable yet still exist for arbitrarily small coupling strengths.

Details

OriginalspracheEnglisch
Aufsatznummer187201
FachzeitschriftPhysical review letters
Jahrgang130
Ausgabenummer18
PublikationsstatusVeröffentlicht - 3 Mai 2023
Peer-Review-StatusJa

Externe IDs

Scopus 85158879829
Mendeley b4a6e0fc-fb0f-3908-a53b-5d5e893adfdf
WOS 000988178500010
ORCID /0000-0002-5956-3137/work/142242539