DocumentCode
592167
Title
Kick synchronization versus diffusive synchronization
Author
Mauroy, Alexandre ; Sacre, Pierre ; Sepulchre, R.
Author_Institution
Dept. of Mech. Eng., Univ. of California Santa Barbara, Santa Barbara, CA, USA
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
7171
Lastpage
7183
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.
Keywords
control system analysis; stability; state-space methods; synchronisation; contraction measure; diffusive model; diffusive synchronization; kick model; kick synchronization; oscillator synchronization model; Couplings; Mathematical model; Orbits; Oscillators; State-space methods; Synchronization; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6425821
Filename
6425821
Link To Document