Synchronization, diversity, and topology of networks of integrate and fire oscillators
We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention on the interplay between topological disorder and synchronization features of networks. First, we analyze synchronization time T in random networks, and find a scaling law which rela...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2000 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/18831 |
| Acesso em linha: | https://hdl.handle.net/2445/18831 |
| Access Level: | acceso abierto |
| Palavra-chave: | Física mèdica Biofísica Física estadística Termodinàmica Sistemes dinàmics diferenciables Equacions d'estat Transformacions de fase (Física estadística) Medical physics Biophysics Statistical physics Thermodynamics Differentiable dynamical systems Equations of state Phase transformations (Statistical physics) |
| Resumo: | We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention on the interplay between topological disorder and synchronization features of networks. First, we analyze synchronization time T in random networks, and find a scaling law which relates T to network connectivity. Then, we compare synchronization time for several other topological configurations, characterized by a different degree of randomness. The analysis shows that regular lattices perform better than a disordered network. This fact can be understood by considering the variability in the number of links between two adjacent neighbors. This phenomenon is equivalent to having a nonrandom topology with a distribution of interactions and it can be removed by an adequate local normalization of the couplings. |
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