Paper Info
Title
Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring.
Abstract
We consider the dynamics of bidirectionally coupled identical Kuramoto oscillators in a ring, where each oscillator is influenced sinusoidally by two neighboring oscillator. Our purpose is to understand its dynamics in the following aspects: 1. identify all the phase-locked states (or equilibria) with stability or instability; 2. estimate the basins for stable phase-locked states; 3. identify the convergence rate towards phase-locked states. The crucial tool in this work is the celebrated theory of Lojasiewicz inequality.
Year
DOI
Venue
2018
10.3934/nhm.2018014
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
Kuramoto oscillators coupled in a ring,phase-locked state,stability basin
Oscillation,Mathematical analysis,Instability,Rate of convergence,Mathematics,Structural basin,Phase locking
Journal
Volume
Issue
ISSN
13
2
1556-1801
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Xiaoxue Zhao100.68
Zhuchun Li231.07
Xiaoping Xue318617.00