Synchronization of delayed fluctuating complex networks

Javier Rodríguez-Laguna, Otti D'Huys, Manuel Jiménez-Martín, Elka Korutcheva*, Wolfgang Kinzel

*Corresponding author for this work

Research output: Contribution to journalConference article

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.

Original languageEnglish
Article number2075
JournalAIP Conference Proceedings
Volume2075
Issue number1
DOIs
Publication statusPublished - 26 Feb 2019
Event10th Jubilee Conference of the Balkan Physical Union, BPU 2018 - Sofia, Bulgaria
Duration: 26 Aug 201830 Aug 2018

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synchronism
topology
matrices
communication
simulation

Bibliographical note

© 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

Cite this

Rodríguez-Laguna, J., D'Huys, O., Jiménez-Martín, M., Korutcheva, E., & Kinzel, W. (2019). Synchronization of delayed fluctuating complex networks. AIP Conference Proceedings, 2075(1), [2075]. https://doi.org/10.1063/1.5091122
Rodríguez-Laguna, Javier ; D'Huys, Otti ; Jiménez-Martín, Manuel ; Korutcheva, Elka ; Kinzel, Wolfgang. / Synchronization of delayed fluctuating complex networks. In: AIP Conference Proceedings. 2019 ; Vol. 2075, No. 1.
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Rodríguez-Laguna, J, D'Huys, O, Jiménez-Martín, M, Korutcheva, E & Kinzel, W 2019, 'Synchronization of delayed fluctuating complex networks', AIP Conference Proceedings, vol. 2075, no. 1, 2075. https://doi.org/10.1063/1.5091122

Synchronization of delayed fluctuating complex networks. / Rodríguez-Laguna, Javier; D'Huys, Otti; Jiménez-Martín, Manuel; Korutcheva, Elka; Kinzel, Wolfgang.

In: AIP Conference Proceedings, Vol. 2075, No. 1, 2075, 26.02.2019.

Research output: Contribution to journalConference article

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AU - Jiménez-Martín, Manuel

AU - Korutcheva, Elka

AU - Kinzel, Wolfgang

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Rodríguez-Laguna J, D'Huys O, Jiménez-Martín M, Korutcheva E, Kinzel W. Synchronization of delayed fluctuating complex networks. AIP Conference Proceedings. 2019 Feb 26;2075(1). 2075. https://doi.org/10.1063/1.5091122