Exact explosive synchronization transitions in Kuramoto oscillators with time-delayed coupling

Collection:
Clark Atlanta University Faculty Publications
Title:
Exact explosive synchronization transitions in Kuramoto oscillators with time-delayed coupling
Creator:
Wu, Hu
Kang, Ling
Liu, Zonghua
Dhamala, Mukesh
Date of Original:
2018
Subject:
African Americans--Education (Higher)--Georgia
Clark Atlanta University
Location:
United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
Medium:
articles
Type:
Text
Format:
application/pdf
Description:
Abstract: Synchronization commonly occurs in many natural and man-made systems, from neurons in the brain to cardiac cells to power grids to Josephson junction arrays. Transitions to or out of synchrony for coupled oscillators depend on several factors, such as individual frequencies, coupling, interaction time delays and network structure-function relation. Here, using a generalized Kuramoto model of time-delay coupled phase oscillators with frequency-weighted coupling, we study the stability ofincoherent and coherent states and the transitions to or out of explosive (abrupt, first-order like) phase synchronization. We analytically derive the exact formulas for the critical coupling strengths at different time delays in both directions of increasing (forward) and decreasing (backward) coupling strengths. We find that time-delay does not affect the transition for the backward direction but can shift the transition for the forward direction of increasing coupling strength. These results provide valuable insights into our understanding of dynamical mechanisms for explosive synchronization in presence of often unavoidable time delays present in many physical and biological systems.
Source: Scientific Reports
DOI: https://doi.org/10.1038/s41598-018-33845-6.
Metadata URL:
http://hdl.handle.net/20.500.12322/cau.ir:2015_zatsarinny_oleg_2
Language:
eng
Original Collection:
Clark Atlanta University Faculty Publications
Holding Institution:
Clark Atlanta University
Rights:
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