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 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.
Guardiola
X
Departament de Fisica Fonamental, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
Diaz-Guilera
A
Llas
M
Perez
CJ