Kick synchronization versus diffusive synchronization

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7171-7183
Number of pages13
DOIs
Publication statusPublished - 2012
Externally publishedYes

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Synchronization
Weak Coupling
Hybrid Model
Analogy
Continuous Time
Contraction
Model

Cite this

Mauroy, A., Sacre, P., & Sepulchre, R. (2012). Kick synchronization versus diffusive synchronization. In Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper) (pp. 7171-7183). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2012.6425821
Mauroy, Alexandre ; Sacre, Pierre ; Sepulchre, Rodolphe. / Kick synchronization versus diffusive synchronization. Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper). Institute of Electrical and Electronics Engineers Inc., 2012. pp. 7171-7183
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Mauroy, A, Sacre, P & Sepulchre, R 2012, Kick synchronization versus diffusive synchronization. in Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper). Institute of Electrical and Electronics Engineers Inc., pp. 7171-7183. https://doi.org/10.1109/CDC.2012.6425821

Kick synchronization versus diffusive synchronization. / Mauroy, Alexandre; Sacre, Pierre; Sepulchre, Rodolphe.

Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper). Institute of Electrical and Electronics Engineers Inc., 2012. p. 7171-7183.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

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Mauroy A, Sacre P, Sepulchre R. Kick synchronization versus diffusive synchronization. In Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper). Institute of Electrical and Electronics Engineers Inc. 2012. p. 7171-7183 https://doi.org/10.1109/CDC.2012.6425821