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Article

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Published version

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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18831

Synchronization, diversity, and topology of networks of integrate and fire oscillators

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http://dx.doi.org/10.1103/PhysRevE.62.5565

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.

Subject

Física mèdica, Biofísica, Física estadística, Termodinàmica, Sistemes dinàmics diferenciables, Equacions d'estat, Transformacions de fase (Física estadística)

Subject (English)

Medical physics, Biophysics, Statistical physics, Thermodynamics, Differentiable dynamical systems, Equations of state, Phase transformations (Statistical physics)

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

GUARDIOLA MARTÍNEZ, Xavier, et al. Synchronization, diversity, and topology of networks of integrate and fire oscillators. Physical Review e. 2000. Vol. 62, num. 4, pags. 5565-5570. ISSN 1063-651X. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/18831

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