Title
Kick synchronization versus diffusive synchronization
Abstract
The paper provides an introductory discussion about two fundamental models of oscillator synchronization: the (continuous-time) diffusive model, that dominates the mathematical literature on synchronization, and the (hybrid) kick model, that accounts for most popular examples of synchronization, but for which only few theoretical results exist. The paper stresses fundamental differences between the two models, such as the different contraction measures underlying the analysis, as well as important analogies that can be drawn in the limit of weak coupling.
Year
DOI
Venue
2012
10.1109/CDC.2012.6425821
conference on decision and control
Keywords
Field
DocType
control system analysis,stability,state-space methods,synchronisation,contraction measure,diffusive model,diffusive synchronization,kick model,kick synchronization,oscillator synchronization model
Statistical physics,Oscillation,Synchronization,Coupling,Control theory,Computer science
Journal
Volume
ISSN
ISBN
abs/1209.4970
0743-1546 E-ISBN : 978-1-4673-2064-1
978-1-4673-2064-1
Citations 
PageRank 
References 
12
0.87
17
Authors
3
Name
Order
Citations
PageRank
Alexandre Mauroy1598.21
Pierre Sacre2121.21
Rodolphe Sepulchre31478140.85