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

Riecke, Hermann and Roxin, Alex and Madruga Sánchez, Santiago and 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.

Description

Title: Multiple attractors, long chaotic transients, and failure in small-world networks of excitable neurons.
Author/s:
  • Riecke, Hermann
  • Roxin, Alex
  • Madruga Sánchez, Santiago
  • Solla, Sara A.
Item Type: Article
Título de Revista/Publicación: CHAOS
Date: 2007
ISSN: 1054-1500
Volume: 17
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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

More information

Item ID: 21699
DC Identifier: http://oa.upm.es/21699/
OAI Identifier: oai:oa.upm.es:21699
DOI: 10.1054-1500/2007/17?2?/026110/15
Deposited by: Memoria Investigacion
Deposited on: 11 Mar 2014 17:56
Last Modified: 21 Apr 2016 12:25
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