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Title: Synchronization, diversity, and topology of networks of integrate and fire oscillators
Author: Guardiola Martínez, Xavier
Díaz Guilera, Albert
Llas Rubio, Mateu
Pérez-Vicente, Conrado, 1962-
Keywords: Física mèdica
Física estadística
Sistemes dinàmics diferenciables
Equacions d'estat
Transformacions de fase (Física estadística)
Medical physics
Statistical physics
Differentiable dynamical systems
Equations of state
Phase transformations (Statistical physics)
Issue Date: 2000
Publisher: The American Physical Society
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.
Note: Reproducció del document publicat a:
It is part of: Physical Review e, 2000, vol. 62, núm. 4, p. 5565-5570
ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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