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Stability of the splay state in networks of pulse-coupled neurons

We analytically investigate the stability of splay states in the networks of N globally pulse-coupled phase-like models of neurons. We develop a perturbative technique which allows determining the Floquet exponents for a generic velocity field and implement the method for a given pulse shape. We fin...

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Detalles Bibliográficos
Autores principales: Olmi, Simona, Politi, Antonio, Torcini, Alessandro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3606406/
https://www.ncbi.nlm.nih.gov/pubmed/23174267
http://dx.doi.org/10.1186/2190-8567-2-12
Descripción
Sumario:We analytically investigate the stability of splay states in the networks of N globally pulse-coupled phase-like models of neurons. We develop a perturbative technique which allows determining the Floquet exponents for a generic velocity field and implement the method for a given pulse shape. We find that in the case of discontinuous velocity fields, the Floquet spectrum scales as [Formula: see text] and the stability is determined by the sign of the jump at the discontinuity. Altogether, the form of the spectrum depends on the pulse shape, but it is independent of the velocity field. PACS: 05.45.Xt, 84.35.+i, 87.19.lj.