Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology

The question of how network topology influences emergent synchronized oscillations in excitable media is addressed. Coupled van der Pol-FitzHugh-Nagumo elements arranged either in regular rings or in the square lattice networks are investigated. Clustered and declustered rings are constructed to hav...

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Autores principales: Vragovic, I., Louis, E., Degli Esposti Boschi, C., Ortega, G.
Formato: JOUR
Materias:
Coupled oscillators
Excitable media
Regular networks
Lattice vibrations
Oscillations
Synchronization
Systems analysis
Topology
Synchronized oscillations
Nonlinear networks
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01672789_v219_n2_p111_Vragovic
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01672789_v219_n2_p111_Vragovic
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spelling todo:paper_01672789_v219_n2_p111_Vragovic2023-10-03T15:04:37Z Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology Vragovic, I. Louis, E. Degli Esposti Boschi, C. Ortega, G. Coupled oscillators Excitable media Regular networks Lattice vibrations Oscillations Synchronization Systems analysis Topology Coupled oscillators Excitable media Regular networks Synchronized oscillations Nonlinear networks The question of how network topology influences emergent synchronized oscillations in excitable media is addressed. Coupled van der Pol-FitzHugh-Nagumo elements arranged either in regular rings or in the square lattice networks are investigated. Clustered and declustered rings are constructed to have the same node connectivity (the same number of links). The systems are chosen to be close-to-threshold, allowing global oscillations to be triggered by a weak diversity among the constituents that, by themselves, would be non-oscillating. The results clearly illustrate the crucial role played by network topology. In particular we found that network performance (activity and synchronization) is mainly determined by the network average path length. The shorter the average path length, the better the network performance. Local properties, as characterized by the clustering coefficient, are less important. In addition we consider the dependence of global oscillations on the size of the system and comment on the mechanisms that sustain synchronized oscillations. © 2006 Elsevier Ltd. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01672789_v219_n2_p111_Vragovic
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Coupled oscillators
Excitable media
Regular networks
Lattice vibrations
Oscillations
Synchronization
Systems analysis
Topology
Coupled oscillators
Excitable media
Regular networks
Synchronized oscillations
Nonlinear networks
spellingShingle Coupled oscillators
Excitable media
Regular networks
Lattice vibrations
Oscillations
Synchronization
Systems analysis
Topology
Coupled oscillators
Excitable media
Regular networks
Synchronized oscillations
Nonlinear networks
Vragovic, I.
Louis, E.
Degli Esposti Boschi, C.
Ortega, G.
Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
topic_facet Coupled oscillators
Excitable media
Regular networks
Lattice vibrations
Oscillations
Synchronization
Systems analysis
Topology
Coupled oscillators
Excitable media
Regular networks
Synchronized oscillations
Nonlinear networks
description The question of how network topology influences emergent synchronized oscillations in excitable media is addressed. Coupled van der Pol-FitzHugh-Nagumo elements arranged either in regular rings or in the square lattice networks are investigated. Clustered and declustered rings are constructed to have the same node connectivity (the same number of links). The systems are chosen to be close-to-threshold, allowing global oscillations to be triggered by a weak diversity among the constituents that, by themselves, would be non-oscillating. The results clearly illustrate the crucial role played by network topology. In particular we found that network performance (activity and synchronization) is mainly determined by the network average path length. The shorter the average path length, the better the network performance. Local properties, as characterized by the clustering coefficient, are less important. In addition we consider the dependence of global oscillations on the size of the system and comment on the mechanisms that sustain synchronized oscillations. © 2006 Elsevier Ltd. All rights reserved.
format JOUR
author Vragovic, I.
Louis, E.
Degli Esposti Boschi, C.
Ortega, G.
author_facet Vragovic, I.
Louis, E.
Degli Esposti Boschi, C.
Ortega, G.
author_sort Vragovic, I.
title Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
title_short Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
title_full Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
title_fullStr Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
title_full_unstemmed Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
title_sort diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: effects of network topology
url http://hdl.handle.net/20.500.12110/paper_01672789_v219_n2_p111_Vragovic
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AT louise diversityinducedsynchronizedoscillationsinclosetothresholdexcitableelementsarrangedonregularnetworkseffectsofnetworktopology
AT degliespostiboschic diversityinducedsynchronizedoscillationsinclosetothresholdexcitableelementsarrangedonregularnetworkseffectsofnetworktopology
AT ortegag diversityinducedsynchronizedoscillationsinclosetothresholdexcitableelementsarrangedonregularnetworkseffectsofnetworktopology
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