Topological Speed Limits to Network Synchronization (original) (raw)
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Abstract
We study collective synchronization of pulse-coupled oscillators interacting on asymmetric random networks. We demonstrate that random matrix theory can be used to accurately predict the speed of synchronization in such networks in dependence on the dynamical and network parameters. Furthermore, we show that the speed of synchronization is limited by the network connectivity and remains finite, even if the coupling strength becomes infinite. In addition, our results indicate that synchrony is robust under structural perturbations of the network dynamics.
Publication:
Physical Review Letters
Pub Date:
February 2004
DOI:
10.48550/arXiv.cond-mat/0306512
arXiv:
Bibcode:
Keywords:
- 05.45.Xt;
- 87.10.+e;
- 89.20.-a;
- 89.75.-k;
- Synchronization;
- coupled oscillators;
- General theory and mathematical aspects;
- Interdisciplinary applications of physics;
- Complex systems;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics;
- Quantitative Biology - Neurons and Cognition
E-Print:
5 pages, 3 figures