Multiple attractors, long chaotic transients, and failure in small-world networks of excitable neurons.

Riecke, Hermann; Roxin, Alex; Madruga Sánchez, Santiago y Solla, Sara A. (2007). Multiple attractors, long chaotic transients, and failure in small-world networks of excitable neurons.. "CHAOS", v. 17 ; pp.. ISSN 1054-1500. https://doi.org/10.1054-1500/2007/17?2?/026110/15.

Descripción

Título: Multiple attractors, long chaotic transients, and failure in small-world networks of excitable neurons.
Autor/es:
  • Riecke, Hermann
  • Roxin, Alex
  • Madruga Sánchez, Santiago
  • Solla, Sara A.
Tipo de Documento: Artículo
Título de Revista/Publicación: CHAOS
Fecha: 2007
Volumen: 17
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

We study the dynamical states of a small-world network of recurrently coupled excitable neurons, through both numerical and analytical methods. The dynamics of this system depend mostly on both the number of long-range connections or ?shortcuts?, and the delay associated with neuronal interactions. We find that persistent activity emerges at low density of shortcuts, and that the system undergoes a transition to failure as their density reaches a critical value. The state of persistent activity below this transition consists of multiple stable periodic attractors, whose number increases at least as fast as the number of neurons in the network. At large shortcut density and for long enough delays the network dynamics exhibit exceedingly long chaotic transients, whose failure times follow a stretched exponential distribution. We show that this functional form arises for the ensemble-averaged activity if the failure time for each individual network realization is exponen- tially distributed

Más información

ID de Registro: 21699
Identificador DC: http://oa.upm.es/21699/
Identificador OAI: oai:oa.upm.es:21699
Identificador DOI: 10.1054-1500/2007/17?2?/026110/15
Depositado por: Memoria Investigacion
Depositado el: 11 Mar 2014 17:56
Ultima Modificación: 21 Abr 2016 12:25
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