Synchronization of chaotic Liouvillian systems: An application to Chua's oscillator

Rafael Martínez-Guerra, Dulce M G Corona-Fortunio, Juan L. Mata-Machuca

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

In this paper we deal with the synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink® and Matlab®-LMI programs. Simulation results are used to visualize and illustrate the effectiveness of Chua's oscillator in synchronization. © 2013 Elsevier Inc. All rights reserved.
Original languageAmerican English
Pages (from-to)10934-10944
Number of pages9839
JournalApplied Mathematics and Computation
DOIs
StatePublished - 21 Jun 2013

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Chua's Oscillator
Chaotic systems
Chaotic System
synchronism
Chaotic Oscillator
Synchronization
oscillators
Nonlinear Observer
Chua's Circuit
Observer Design
Matlab/Simulink
MATLAB
Observer
polynomials
Polynomials
Tend
Polynomial
Networks (circuits)
Simulation
simulation

Cite this

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Synchronization of chaotic Liouvillian systems: An application to Chua's oscillator. / Martínez-Guerra, Rafael; Corona-Fortunio, Dulce M G; Mata-Machuca, Juan L.

In: Applied Mathematics and Computation, 21.06.2013, p. 10934-10944.

Research output: Contribution to journalArticleResearchpeer-review

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