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  • Letter

Traveling pulses in type-I excitable media

Andreu Arinyo-i-Prats1,2, Pablo Moreno-Spiegelberg1, Manuel A. Matias1, and Damià Gomila1,*

  • 1IFISC (CSIC-UIB), Instituto de Física Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain
  • 2Institute of Computer Science, Czech Academy of Sciences, 182 07 Praha 8, Czech Republic

  • *damia@ifisc.uib-csic.es

Phys. Rev. E 104, L052203 – Published 22 November, 2021

DOI: https://doi.org/10.1103/PhysRevE.104.L052203

Abstract

We consider a general model exhibiting type-I excitability mediated by a homoclinic and a saddle node on the invariant circle bifurcations. We show how the distinct properties of type-I with respect to type-II excitability confer unique features to traveling pulses in excitable media. They inherit the characteristic divergence of type-I excitable trajectories at threshold exhibiting analogous scalings in the spatial thickness of the pulses. Our results pave the way to identify basic underlying mechanisms behind type-I excitable pulses based solely on the characteristics of the pulse.

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