Optimal Synchronization of a Memristive Chaotic Circuit

Author:

Kountchou Michaux1,Louodop Patrick1,Bowong Samuel2,Fotsin Hilaire1,Kurths Jurgen3

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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