Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring
type: Item
instance of: scholarly article
title: Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring
zbMATH Open document ID: 1407.34076
author: Xiaoxue Zhao
author: Zhuchun Li
author: Xiaoping Xue
published in: Networks and Heterogeneous Media
publication date: 2019-01-24T00:00:00Z
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 7006659
zbMATH Keywords: Kuramoto oscillators coupled in a ring
zbMATH Keywords: phase-locked state
zbMATH Keywords: stability
zbMATH Keywords: basin
MaRDI profile type: Publication
full work available at URL: nhm.2018014
OpenAlex ID: W2804957686
cites work: On the stable equilibrium points of gradient systems
cites work: The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
cites work: Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
cites work: On Exponential Synchronization of Kuramoto Oscillators
cites work: Multistability of phase-locking and topological winding numbers in locally coupled Kuramoto models on single-loop networks
cites work: On the Critical Coupling for Kuramoto Oscillators
cites work: Synchronization in complex networks of phase oscillators: a survey
cites work: Synchronization in a pool of mutually coupled oscillators with random frequencies
cites work: Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics
cites work: On the Basin of Attractors for the Unidirectionally Coupled Kuramoto Model in a Ring
cites work: On the Łojasiewicz exponent of Kuramoto model
cites work: Synchronization and Transient Stability in Power Grids Based on Łojasiewicz Inequalities
cites work: Q5643297
cites work: Synchronization: a universal concept in nonlinear sciences
cites work: Stability of phase locking in a ring of unidirectionally coupled oscillators
cites work: The size of the sync basin
Wikidata QID: Q129824578
DOI: 10.3934/NHM.2018014
description: scientific article; zbMATH DE number 7006659