Pulse-coupled relaxation oscillators: from biological synchronization to Self-Organized Criticality

Abstract

It is shown that globally-coupled oscillators with pulse interaction can synchronize under broader conditions than widely believed from a theorem of Mirollo \& Strogatz \cite{MirolloII}. This behavior is stable against frozen disorder. Beside the relevance to biology, it is argued that synchronization in relaxation oscillator models is related to Self-Organized Criticality in Stick-Slip-like models.

4 pages, RevTeX, 1 uuencoded postscript figure in separate file, accepted for publication in Phys. Rev. Lett.

References in corpus (2)

• Self-Organized Criticality in Non-conserved Systems
• Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators

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