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Optimal Synchronization of a Memristive Chaotic Circuit

Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P. O. Box 67 Dschang, Cameroon

E-mail Address: kountchounoube@yahoo.fr

Nuclear Technology Section, Institute of Geological and Mining Research, P. O. Box 4110 Yaounde, Cameroon.

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Patrick Louodop

Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P. O. Box 67 Dschang, Cameroon

E-mail Address: louodop@yahoo.fr

Instituto de Física Teórica, UNESP, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra Funda, 01140-070 São Paulo, Brazil.

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Samuel Bowong

Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P. O. Box 24157 Douala, Cameroon

E-mail Address: sbowong@gmail.com

Corresponding author

UMI 209 IRD & UPMC UMMISCO, Bondy, France, LIRIMA, project team GRIMCAPE, Yaounde, Cameroon, The African Center of Excellence in Information and Communication, Technologies (CETIC), University of Yaounde 1, Cameroon.

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Hilaire Fotsin

Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P. O. Box 67 Dschang, Cameroon

E-mail Address: hbfotsin@yahoo.fr

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Jurgen Kurths

Potsdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany

E-mail Address: Jurgen.Kurths@pik-potsdam.de

Department of Physics, Humboldt Universitat zu Berlin, 12489 Berlin, Germany.

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https://doi.org/10.1142/S0218127416500930Cited by:16 (Source: Crossref)

Abstract

This paper deals with the problem of optimal synchronization of two identical memristive chaotic systems. We first study some basic dynamical properties and behaviors of a memristor oscillator with a simple topology. An electronic circuit (analog simulator) is proposed to investigate the dynamical behavior of the system. An optimal synchronization strategy based on the controllability functions method with a mixed cost functional is investigated. A finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master-slave-controller systems is also presented to show the feasibility of the proposed scheme.

Keywords:

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