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Abstract:

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.

Registro:

Documento: Artículo
Título:Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology
Autor:Vragovic, I.; Louis, E.; Degli Esposti Boschi, C.; Ortega, G.
Filiación:Departamento de Física Aplicada, Instituto Universitario de Materiales, Unidad Asociada CSIC-UA, E-03080 Alicante, Spain
CNR-INFM, Unità di Ricerca di Bologna, viale Berti-Pichat, 6 /2, 40127 Bologna, Italy
Departamento de Física, F.C.E.N., Universidad de Buenos Aires, Pabellon I, Ciudad Universitaria, 1428, Capital Federal, Argentina
Palabras clave:Coupled oscillators; Excitable media; Regular networks; Lattice vibrations; Oscillations; Synchronization; Systems analysis; Topology; Coupled oscillators; Excitable media; Regular networks; Synchronized oscillations; Nonlinear networks
Año:2006
Volumen:219
Número:2
Página de inicio:111
Página de fin:119
DOI: http://dx.doi.org/10.1016/j.physd.2006.05.017
Título revista:Physica D: Nonlinear Phenomena
Título revista abreviado:Phys D Nonlinear Phenom
ISSN:01672789
CODEN:PDNPD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v219_n2_p111_Vragovic

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Citas:

---------- APA ----------
Vragovic, I., Louis, E., Degli Esposti Boschi, C. & Ortega, G. (2006) . Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology. Physica D: Nonlinear Phenomena, 219(2), 111-119.
http://dx.doi.org/10.1016/j.physd.2006.05.017
---------- CHICAGO ----------
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" . Physica D: Nonlinear Phenomena 219, no. 2 (2006) : 111-119.
http://dx.doi.org/10.1016/j.physd.2006.05.017
---------- MLA ----------
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" . Physica D: Nonlinear Phenomena, vol. 219, no. 2, 2006, pp. 111-119.
http://dx.doi.org/10.1016/j.physd.2006.05.017
---------- VANCOUVER ----------
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. Phys D Nonlinear Phenom. 2006;219(2):111-119.
http://dx.doi.org/10.1016/j.physd.2006.05.017