Generalized synchronization in relay systems with instantaneous coupling

Gutiérrez Díez, Ricardo and Sevilla-Escoboza, Ricardo and Piedrahita, Pablo and Finke, C. and Feudel, Ulrike and Martín Buldú, Javier and Huerta Cuellar, Guillermo and Jaimes-Reategui, Rider and Moreno, Yamir and Boccaletti, Stefano (2013). Generalized synchronization in relay systems with instantaneous coupling. "Physical Review A", v. 88 (n. 5); pp.. ISSN 1050-2947. https://doi.org/10.1103/PhysRevE.88.052908.

Description

Title: Generalized synchronization in relay systems with instantaneous coupling
Author/s:
  • Gutiérrez Díez, Ricardo
  • Sevilla-Escoboza, Ricardo
  • Piedrahita, Pablo
  • Finke, C.
  • Feudel, Ulrike
  • Martín Buldú, Javier
  • Huerta Cuellar, Guillermo
  • Jaimes-Reategui, Rider
  • Moreno, Yamir
  • Boccaletti, Stefano
Item Type: Article
Título de Revista/Publicación: Physical Review A
Date: November 2013
ISSN: 1050-2947
Volume: 88
Subjects:
Faculty: Centro de Tecnología Biomédica (CTB) (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We demonstrate the existence of generalized synchronization in systems that act as mediators between two dynamical units that, in turn, show complete synchronization with each other. These are the so-called relay systems. Specifically, we analyze the Lyapunov spectrum of the full system to elucidate when complete and generalized synchronization appear. We show that once a critical coupling strength is achieved, complete synchronization emerges between the systems to be synchronized, and at the same point, generalized synchronization with the relay system also arises. Next, we use two nonlinear measures based on the distance between phase-space neighbors to quantify the generalized synchronization in discretized time series. Finally, we experimentally show the robustness of the phenomenon and of the theoretical tools here proposed to characterize it.

More information

Item ID: 31195
DC Identifier: http://oa.upm.es/31195/
OAI Identifier: oai:oa.upm.es:31195
DOI: 10.1103/PhysRevE.88.052908
Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.052908
Deposited by: Memoria Investigacion
Deposited on: 15 Apr 2015 16:12
Last Modified: 15 Apr 2015 16:12
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