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 in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze synchronization time \(T\) in random networks, and find a scaling law whi...

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Bibliographic Details
Published in:arXiv.org 2000-04
Main Authors: Guardiola, X, Diaz-Guilera, A, Llas, M, Perez, C J
Format: Article
Language:English
Subjects:
Couplings
Lattices
Networks
Oscillators
Scaling laws
Synchronism
Time synchronization
Topology
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Summary:We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze synchronization time \(T\) in random networks, and find a scaling law which relates \(T\) to networks connectivity. Then, we carry on comparing synchronization time for several other topological configurations, characterized by a different degree of randomness. The analysis shows that regular lattices perform better than any other disordered network. The fact can be understood by considering the variability in the number of links between two adjacent neighbors. This phenomenon is equivalent to have a non-random topology with a distribution of interactions and it can be removed by an adequate local normalization of the couplings.
ISSN:2331-8422
DOI:10.48550/arxiv.0005007