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Title: Inter-layer synchronization in multiplex networks of identical layers

Abstract

Inter-layer synchronization is a distinctive process of multiplex networks whereby each node in a given layer evolves synchronously with all its replicas in other layers, irrespective of whether or not it is synchronized with the other units of the same layer. We analytically derive the necessary conditions for the existence and stability of such a state, and verify numerically the analytical predictions in several cases where such a state emerges. We further inspect its robustness against a progressive de-multiplexing of the network, and provide experimental evidence by means of multiplexes of nonlinear electronic circuits affected by intrinsic noise and parameter mismatch.

Authors:
 [1]; ; ;  [2];  [3];  [4];  [5];  [6]
  1. Centro Universitario de los Lagos, Universidad de Guadalajara, Jalisco 47460 (Mexico)
  2. Complex Systems Group & GISC, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid (Spain)
  3. (Spain)
  4. School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD (United Kingdom)
  5. CNR-Institute of Complex Systems, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Florence (Italy)
  6. (Israel)
Publication Date:
OSTI Identifier:
22596697
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 26; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ELECTRONIC CIRCUITS; LAYERS; NONLINEAR PROBLEMS; SYNCHRONIZATION

Citation Formats

Sevilla-Escoboza, R., Sendiña-Nadal, I., Leyva, I., Buldú, J. M., Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Gutiérrez, R., Boccaletti, S., and The Italian Embassy in Israel, 25 Hamered st., 68125 Tel Aviv. Inter-layer synchronization in multiplex networks of identical layers. United States: N. p., 2016. Web. doi:10.1063/1.4952967.
Sevilla-Escoboza, R., Sendiña-Nadal, I., Leyva, I., Buldú, J. M., Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Gutiérrez, R., Boccaletti, S., & The Italian Embassy in Israel, 25 Hamered st., 68125 Tel Aviv. Inter-layer synchronization in multiplex networks of identical layers. United States. doi:10.1063/1.4952967.
Sevilla-Escoboza, R., Sendiña-Nadal, I., Leyva, I., Buldú, J. M., Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Gutiérrez, R., Boccaletti, S., and The Italian Embassy in Israel, 25 Hamered st., 68125 Tel Aviv. Wed . "Inter-layer synchronization in multiplex networks of identical layers". United States. doi:10.1063/1.4952967.
@article{osti_22596697,
title = {Inter-layer synchronization in multiplex networks of identical layers},
author = {Sevilla-Escoboza, R. and Sendiña-Nadal, I. and Leyva, I. and Buldú, J. M. and Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid and Gutiérrez, R. and Boccaletti, S. and The Italian Embassy in Israel, 25 Hamered st., 68125 Tel Aviv},
abstractNote = {Inter-layer synchronization is a distinctive process of multiplex networks whereby each node in a given layer evolves synchronously with all its replicas in other layers, irrespective of whether or not it is synchronized with the other units of the same layer. We analytically derive the necessary conditions for the existence and stability of such a state, and verify numerically the analytical predictions in several cases where such a state emerges. We further inspect its robustness against a progressive de-multiplexing of the network, and provide experimental evidence by means of multiplexes of nonlinear electronic circuits affected by intrinsic noise and parameter mismatch.},
doi = {10.1063/1.4952967},
journal = {Chaos (Woodbury, N. Y.)},
number = 6,
volume = 26,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 2016},
month = {Wed Jun 15 00:00:00 EDT 2016}
}