Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks

Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks

Synchronization is one of the most important emerging collective behaviors in nature, which results from the interaction in groups of organisms. In this paper, network synchronization of discrete-time dynamical systems is studied. In particular, network synchronization with fireflies oscillators lik...

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Main Authors: A. Arellano-Delgado, C. Cruz-Hernández, R. M. López Gutiérrez, C. Posadas-Castillo
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/895379
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spelling doaj-9d80e354c7884ca09cbc0530d8eaf2152020-11-24T22:38:00ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/895379895379Outer Synchronization of Simple Firefly Discrete Models in Coupled NetworksA. Arellano-Delgado0C. Cruz-Hernández1R. M. López Gutiérrez2C. Posadas-Castillo3Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), 22860 Ensenada, BC, MexicoElectronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), 22860 Ensenada, BC, MexicoEngineering, Architecture and Design Faculty, Baja California Autonomous University (UABC), 22860 Ensenada, BC, MexicoMechanics and Electrical Engineering Faculty, Nuevo León Autonomous University (UANL), 66450 San Nicolás de los Garza, NL, MexicoSynchronization is one of the most important emerging collective behaviors in nature, which results from the interaction in groups of organisms. In this paper, network synchronization of discrete-time dynamical systems is studied. In particular, network synchronization with fireflies oscillators like nodes is achieved by using complex systems theory. Different cases of interest on network synchronization are studied, including for a large number of fireflies oscillators; we consider synchronization in small-world networks and outer synchronization among different coupled networks topologies; for all presented cases, we provide appropriate ranges of values for coupling strength and extensive numerical simulations are included. In addition, for illustrative purposes, we show the effectiveness of network synchronization by means of experimental implementation of coupled nine electronics fireflies in different topologies.http://dx.doi.org/10.1155/2015/895379
collection DOAJ
language English
format Article
sources DOAJ
author A. Arellano-Delgado
C. Cruz-Hernández
R. M. López Gutiérrez
C. Posadas-Castillo
spellingShingle A. Arellano-Delgado
C. Cruz-Hernández
R. M. López Gutiérrez
C. Posadas-Castillo
Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks
Mathematical Problems in Engineering
author_facet A. Arellano-Delgado
C. Cruz-Hernández
R. M. López Gutiérrez
C. Posadas-Castillo
author_sort A. Arellano-Delgado
title Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks
title_short Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks
title_full Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks
title_fullStr Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks
title_full_unstemmed Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks
title_sort outer synchronization of simple firefly discrete models in coupled networks
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description Synchronization is one of the most important emerging collective behaviors in nature, which results from the interaction in groups of organisms. In this paper, network synchronization of discrete-time dynamical systems is studied. In particular, network synchronization with fireflies oscillators like nodes is achieved by using complex systems theory. Different cases of interest on network synchronization are studied, including for a large number of fireflies oscillators; we consider synchronization in small-world networks and outer synchronization among different coupled networks topologies; for all presented cases, we provide appropriate ranges of values for coupling strength and extensive numerical simulations are included. In addition, for illustrative purposes, we show the effectiveness of network synchronization by means of experimental implementation of coupled nine electronics fireflies in different topologies.
url http://dx.doi.org/10.1155/2015/895379
work_keys_str_mv AT aarellanodelgado outersynchronizationofsimplefireflydiscretemodelsincouplednetworks
AT ccruzhernandez outersynchronizationofsimplefireflydiscretemodelsincouplednetworks
AT rmlopezgutierrez outersynchronizationofsimplefireflydiscretemodelsincouplednetworks
AT cposadascastillo outersynchronizationofsimplefireflydiscretemodelsincouplednetworks
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