English

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

Condensed Matter 2016-08-31 v1 adap-org Adaptation and Self-Organizing Systems

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.

Keywords

Cite

@article{arxiv.cond-mat/9503079,
  title  = {Pulse-coupled relaxation oscillators: from biological synchronization to Self-Organized Criticality},
  author = {Samuele Bottani},
  journal= {arXiv preprint arXiv:cond-mat/9503079},
  year   = {2016}
}

Comments

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