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...
Guardado en:
| Publicado: |
2006
|
|---|---|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v219_n2_p111_Vragovic http://hdl.handle.net/20.500.12110/paper_01672789_v219_n2_p111_Vragovic |
| Aporte de: |
| id |
paper:paper_01672789_v219_n2_p111_Vragovic |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_01672789_v219_n2_p111_Vragovic2023-06-08T15:16:18Z Diversity-induced synchronized oscillations in close-to-threshold excitable elements arranged on regular networks: Effects of network topology 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. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v219_n2_p111_Vragovic 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 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. |
| 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 |
| publishDate |
2006 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v219_n2_p111_Vragovic http://hdl.handle.net/20.500.12110/paper_01672789_v219_n2_p111_Vragovic |
| _version_ |
1768543079486193664 |