Synchronization of delayed fluctuating complex networks

Abstract

In this communication we present some of our recent results on the synchronization properties of directed delay-coupled networks of a small-world type, whose topology changes with time. Our simulations of a network of non-linear elements show that a random change of topology enhances the stability of a synchronized state, depending on the interplay between different time-scales in the dynamics. The results are analytically explained in the linear limit, where the dynamics is expressed in terms of an effective connectivity matrix. In the limit of fast network fluctuations, this effective connectivity is given by the arithmetic mean of the temporal adjacency matrices. When the coupling topology changes slowly, the effective adjacency matrix is given by the geometric mean. The transition between both regimes is numerically studied for linear network elements.

Publication DOI: https://doi.org/10.1063/1.5091122
Divisions: College of Engineering & Physical Sciences
Additional Information: © 2019 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in AIP Conference Proceedings 2075, 020005 (2019); Published Online: 26 February 2019 and may be found at https://doi.org/10.1063/1.5091122
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 0094-243X
Last Modified: 08 Jan 2024 09:03
Date Deposited: 25 Mar 2019 12:18
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://aip.sci ... .1063/1.5091122 (Publisher URL)
PURE Output Type: Conference article
Published Date: 2019-02-26
Accepted Date: 2018-08-01
Authors: Rodríguez-Laguna, Javier
D'Huys, Otti (ORCID Profile 0000-0001-7498-6771)
Jiménez-Martín, Manuel
Korutcheva, Elka
Kinzel, Wolfgang

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