Kick synchronization versus diffusive synchronization
Kick synchronization versus diffusive synchronization
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.
Correction of a mistake in Definition 1
- University of California, Santa Barbara United States
- University of Liège Belgium
FOS: Physical sciences, Adaptation and Self-Organizing Systems, Systems and Control (eess.SY), Dynamical Systems (math.DS), Dynamical Systems, Engineering, computing & technology, Ingénierie, informatique & technologie, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Adaptation and Self-Organizing Systems (nlin.AO), Systems and Control
FOS: Physical sciences, Adaptation and Self-Organizing Systems, Systems and Control (eess.SY), Dynamical Systems (math.DS), Dynamical Systems, Engineering, computing & technology, Ingénierie, informatique & technologie, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Adaptation and Self-Organizing Systems (nlin.AO), Systems and Control
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