Outer Synchronization of Simple Firefly Discrete Models in Coupled Networks

Synchronization is one of the most importantemerging collective behaviors in nature, which results fromthe interaction in groups of organisms. In this paper, networksynchronization of discrete-time dynamical systems is studied. Inparticular, network synchronization with fireflies oscillators likenod...

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Published inMathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 14
Main Authors Posadas-Castillo, C., López Gutiérrez, R. M., Cruz-Hernandez, Cesar, Arellano-Delgado, A.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
Hindawi Limited
Subjects
Behavior
Complex systems
Discrete time systems
Dynamical systems
Engineering
Fireflies
Joining
Mathematical models
Network topologies
Networks
Oscillators
Studies
Synchronism
Synchronization
Systems theory
Time synchronization
Topology
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Summary:Synchronization is one of the most importantemerging collective behaviors in nature, which results fromthe interaction in groups of organisms. In this paper, networksynchronization of discrete-time dynamical systems is studied. Inparticular, network synchronization with fireflies oscillators likenodes is achieved by using complex systems theory. Different casesof interest on network synchronization are studied, including fora large number of fireflies oscillators; we consider synchronizationin small-world networks and outer synchronization amongdifferent coupled networks topologies; for all presented cases,we provide appropriate ranges of values for coupling strengthand extensive numerical simulations are included. In addition,for illustrative purposes, we show the effectiveness of networksynchronization by means of experimental implementation ofcoupled nine electronics fireflies in different topologies.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2015/895379