Paper Info
Title
Large-Time Dynamics of Kuramoto Oscillators under the Effects of Inertia and Frustration.
Abstract
We study the intricate interplay between inertial effect and interaction frustration in an ensemble of Kuramoto oscillators. In particular, we discuss how asymptotic synchronization can arise from the competition between synchronization factors such as strong coupling strength and desynchronization factors such as inertia and frustration. We provide several frameworks in terms of system parameters and initial configurations that guarantee the emergence of complete synchronization. For a restricted class of initial configurations, we show that asymptotic complete synchronization occurs exponentially fast and its exponential decay rate depends on the strength of system parameters such as coupling, inertia, and frustration. We also provide several numerical simulations and compare these with analytical results.
Year
DOI
Venue
2014
10.1137/130926559
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Keywords
Field
DocType
Kuramoto model,finite inertia,frustration,complete synchronization
Inertial frame of reference,Synchronization,Coupling,Frustration,Control theory,Exponential decay,Kuramoto model,Inertia,Classical mechanics,Exponential growth,Physics
Journal
Volume
Issue
ISSN
13
1
1536-0040
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Seung-Yeal Ha11615.87
Yongduck Kim200.68
Zhuchun Li3165.00