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: Chapter in Book/Report/Conference proceedingConference article in proceedingAcademicpeer-review

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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
Title of host publicationAIP Conference Proceedings
EditorsTM Mishonov, AM Varonov
Number of pages5
Publication statusPublished - 1 Feb 2019
Externally publishedYes

Publication series

SeriesAIP Conference Proceedings

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