Work

Synchronization of the time-delayed Kuramoto model in a regular network

Year: 2025

Type: article

Abstract: This study investigates the impact of delayed coupling on the global and local synchronization of identical coupled oscillators residing in a ring. Utilizing the Kuramoto model, we examine the effects of delayed coupling on collective dynamics. Our analytical and numerical results reveal distinct synchronization behaviors across various time delay regimes, including fully synchronized states, helical patterns, dynamically incoherent states, and random phase-locked states. We identify the regime in which time delay inhibits synchrony, which aligns with theoretical predictions derived from stability analysis. In the region between the synchrony-possible and synchrony-forbidden zones, a coexistence of synchronized and unsynchronized dynamics is observed, referred to as chimera states. We ascertain that the type of chimera states present is moving turbulent.

Source: The European Physical Journal Plus

DOI: 10.1140/epjp/s13360-025-06457-z

Authors: Sara Ameli, Esmaeil Mahdavi, Mina Zarei, Farhad Shahbazi

Institutions: Forschungszentrum Jülich, Institute for Advanced Studies in Basic Sciences, Isfahan University of Technology

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,890

Funder: Forschungszentrum Jülich