Probabilistic Convergence Guarantees for Type-II Pulse-Coupled Oscillators

TitleProbabilistic Convergence Guarantees for Type-II Pulse-Coupled Oscillators
Publication TypeJournal Article
Year of Publication2012
AuthorsNishimura, J., & Friedman E.
Published inPhysical Review E
Other Numbers3413

We show that a large class of pulse-coupled oscillators converge with high probability from random initial conditions on a large class of graphs with time delays. Our analysis combines previous local convergence results, probabilistic network analysis, and a classification scheme for type-II phase response curves to produce rigorous lower bounds for convergence probabilities based on network density. These results suggest methods for the analysis of pulse-coupled oscillators, and provide insights into the balance of excitation and inhibition in the operation of biological type-II phase response curves and also the design of decentralized and minimal clock synchronization schemes in sensor nets.

Bibliographic Notes

Physical Review E, Vol. 86, Issue 2

Abbreviated Authors

J. Nishimura and E. Friedman

ICSI Research Group


ICSI Publication Type

Article in journal or magazine