Critical phenomena in globally coupled excitable elements

Hiroki Ohta; Shin-ichi Sasa

doi:10.1103/physreve.78.065101

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arXiv · 0805.4671

Critical phenomena in globally coupled excitable elements

Hiroki Ohta·Shin-ichi Sasa

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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.

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Hiroki Ohta, Shin-ichi Sasa. 2008-05-30. Critical phenomena in globally coupled excitable elements. https://doi.org/10.1103/physreve.78.065101

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