Critical phenomena in globally coupled excitable elements

TL;DR

This paper investigates critical phenomena in globally coupled excitable elements, focusing on saddle-node bifurcations, calculating critical exponents, and comparing theoretical results with numerical experiments, with implications for jamming transitions.

Contribution

It provides a theoretical calculation of critical exponents near bifurcations in coupled excitable systems, validated by numerical experiments, and discusses relevance to jamming transitions.

Findings

Critical exponents calculated theoretically match numerical results.

Divergent fluctuations of interspike intervals near bifurcation.

Relevance of findings to jamming transitions discussed.

Abstract

Critical phenomena in globally coupled excitable elements are studied by focusing on a saddle-node bifurcation at the collective level. Critical exponents that characterize divergent fluctuations of interspike intervals near the bifurcation are calculated theoretically. The calculated values appear to be in good agreement with those determined by numerical experiments. The relevance of our results to jamming transitions is also mentioned.