Kick synchronization versus diffusive synchronization
Systems and Control
2024-05-03 v3 Dynamical Systems
Adaptation and Self-Organizing Systems
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.
Cite
@article{arxiv.1209.4970,
title = {Kick synchronization versus diffusive synchronization},
author = {Alexandre Mauroy and Pierre Sacré and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1209.4970},
year = {2024}
}
Comments
Correction of a mistake in Definition 1