Excitable networks: Nonequilibrium criticality and optimum topology

J. J. Torres; S. De Franciscis; S. Johnson; J. Marro

doi:10.1142/S0218127410026150

Excitable networks: Nonequilibrium criticality and optimum topology

J. J. Torres, S. De Franciscis, S. Johnson, J. Marro

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Excitable media may be modeled as simple extensions of the AmariHopfield network with dynamic attractors. Some nodes chosen at random remain temporarily quiet, and some of the edges are switched off to adjust the network connectivity, while the weights of the other edges vary with activity. We conclude on the optimum wiring topology and describe nonequilibrium phases and criticality at the edge of irregular behavior.

Original language	English
Pages (from-to)	869-875
Number of pages	7
Journal	International Journal of Bifurcation and Chaos
Volume	20
Issue number	3
DOIs	https://doi.org/10.1142/S0218127410026150
Publication status	Published - Mar 2010

Bibliographical note

Funding Information:
This work was financed by the JA project FQM– 01505 and by the MEC–FEDER project FIS2009– 08451.

Keywords

Criticality
Dynamical memories
Optimum network topology
Silent neurons

ASJC Scopus subject areas

Modelling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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10.1142/S0218127410026150

Cite this

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abstract = "Excitable media may be modeled as simple extensions of the AmariHopfield network with dynamic attractors. Some nodes chosen at random remain temporarily quiet, and some of the edges are switched off to adjust the network connectivity, while the weights of the other edges vary with activity. We conclude on the optimum wiring topology and describe nonequilibrium phases and criticality at the edge of irregular behavior.",

keywords = "Criticality, Dynamical memories, Optimum network topology, Silent neurons",

author = "Torres, {J. J.} and {De Franciscis}, S. and S. Johnson and J. Marro",

note = "Funding Information: This work was financed by the JA project FQM– 01505 and by the MEC–FEDER project FIS2009– 08451.",

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Excitable networks: Nonequilibrium criticality and optimum topology

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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