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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2015/895379 |
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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 |
_version_ |
1725715195820507136 |