Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach

The goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master...

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Main Authors: Ricardo Aguilar-López, Rafael Martínez-Guerra, Juan L. Mata-Machuca
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/935163
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author Ricardo Aguilar-López
Rafael Martínez-Guerra
Juan L. Mata-Machuca
author_facet Ricardo Aguilar-López
Rafael Martínez-Guerra
Juan L. Mata-Machuca
author_sort Ricardo Aguilar-López
collection DOAJ
description The goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master and the slaves’ oscillators. The proposed observer contains a proportional and integral form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Numerical experiments were carried out to show the operation of the considered methodology.
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institution Kabale University
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-8771a342f37d41a6ac4eb6b71ba4e2d92025-02-03T01:31:40ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/935163935163Multisynchronization of Chaotic Oscillators via Nonlinear Observer ApproachRicardo Aguilar-López0Rafael Martínez-Guerra1Juan L. Mata-Machuca2CINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, MexicoCINVESTAV-IPN, Avenida Instituto Politécnico Nacional 2508, 07360 San Pedro Zacatenco, DF, MexicoAcademia de Mecatrónica, UPIITA-IPN, Avenida Instituto Politécnico Nacional 2580, Barrio La Laguna Ticomán, Gustavo A. Madero 07340, México. DF, MexicoThe goal of this work is to synchronize a class of chaotic oscillators in a master-slave scheme, under different initial conditions, considering several slaves systems. The Chen oscillator is employed as a benchmark model and a nonlinear observer is proposed to reach synchronicity between the master and the slaves’ oscillators. The proposed observer contains a proportional and integral form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Numerical experiments were carried out to show the operation of the considered methodology.http://dx.doi.org/10.1155/2014/935163
spellingShingle Ricardo Aguilar-López
Rafael Martínez-Guerra
Juan L. Mata-Machuca
Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
The Scientific World Journal
title Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
title_full Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
title_fullStr Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
title_full_unstemmed Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
title_short Multisynchronization of Chaotic Oscillators via Nonlinear Observer Approach
title_sort multisynchronization of chaotic oscillators via nonlinear observer approach
url http://dx.doi.org/10.1155/2014/935163
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AT rafaelmartinezguerra multisynchronizationofchaoticoscillatorsvianonlinearobserverapproach
AT juanlmatamachuca multisynchronizationofchaoticoscillatorsvianonlinearobserverapproach