Explosive first-order transition to synchrony in networked chaotic oscillators
Statistical Mechanics
2012-06-08 v1 Chaotic Dynamics
Physics and Society
Abstract
Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.
Cite
@article{arxiv.1203.6508,
title = {Explosive first-order transition to synchrony in networked chaotic oscillators},
author = {I. Leyva and R. Sevilla-Escoboza and J. M. Buldú and I. Sendiña-Nadal and J. Gómez-Gardeñes and A. Arenas and Y. Moreno and S. Gómez and R. Jaimes-Reátegui and S. Boccaletti},
journal= {arXiv preprint arXiv:1203.6508},
year = {2012}
}
Comments
Phys. Rev. Lett. in press