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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6425821
