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oai:recercat.cat:2445/188312025-12-04T20:46:32Zcom_2072_1057col_2072_478822col_2072_478917

Synchronization, diversity, and topology of networks of integrate and fire oscillators Guardiola Martínez, Xavier Díaz Guilera, Albert Llas Rubio, Mateu Pérez-Vicente, Conrado, 1962- 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) 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. 2011-07-07T12:53:38Z 2011-07-07T12:53:38Z 2000 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.62.5565 Physical Review e, 2000, vol. 62, núm. 4, p. 5565-5570 http://dx.doi.org/10.1103/PhysRevE.62.5565 (c) American Physical Society, 2000 info:eu-repo/semantics/openAccess The American Physical Society Articles publicats en revistes (Física de la Matèria Condensada)