title: Synchronization, diversity, and topology of networks of integrate and fire oscillators
abstract: 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.
authors.affiliation: Departament de Fisica Fonamental, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
authors.initials: X
authors.lastname: Guardiola
authors.initials: A
authors.lastname: Diaz-Guilera
authors.initials: M
authors.lastname: Llas
authors.initials: CJ
authors.lastname: Perez