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Synchronization, diversity, and topology of networks of integrate and fire oscillators
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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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GUARDIOLA MARTÍNEZ, Xavier, DÍAZ GUILERA, Albert, LLAS RUBIO, Mateu, PÉREZ-VICENTE, Conrado. Synchronization, diversity, and topology of networks of integrate and fire oscillators. _Physical Review e_. 2000. Vol. 62, núm. 4, pàgs. 5565-5570. [consulta: 20 de gener de 2026]. ISSN: 1063-651X. [Disponible a: https://hdl.handle.net/2445/18831]