TY - JOUR
T1 - Synchronization of delayed fluctuating complex networks
AU - Rodríguez-Laguna, Javier
AU - D'Huys, Otti
AU - Jiménez-Martín, Manuel
AU - Korutcheva, Elka
AU - Kinzel, Wolfgang
N1 - © 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
PY - 2019/2/26
Y1 - 2019/2/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85062834667&partnerID=8YFLogxK
UR - https://aip.scitation.org/doi/abs/10.1063/1.5091122
U2 - 10.1063/1.5091122
DO - 10.1063/1.5091122
M3 - Conference article
AN - SCOPUS:85062834667
SN - 0094-243X
VL - 2075
JO - AIP Conference Proceedings
JF - AIP Conference Proceedings
IS - 1
M1 - 2075
T2 - 10th Jubilee Conference of the Balkan Physical Union, BPU 2018
Y2 - 26 August 2018 through 30 August 2018
ER -