<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper provides an innovative practical realization of a memristor based chaotic circuit. The first part discusses the mathematical analysis of the proposed system, including calculation of an eigenvalues, bifurcation diagram and largest Lyapunov exponents. Another parts deal with circuitry realization and the influence of parasitic properties of active elements. The circuit simulations obtained by PSpice environment and the practical measurement results on a breadboard are presented in the last part of this paper. The main aim of this work is an innovative realization of the memristor based chaotic circuit with one type of energy-storage element (linear passive capacitor) and with simpler construction in comparison to other circuits. The next contribution consists in verification of designed circuit with respect to influence of parasitic properties of active elements to chaos destruction.</p></abstract>

This paper provides an innovative practical realization of a memristor based chaotic circuit. The first part discusses the mathematical analysis of the proposed system, including calculation of an eigenvalues, bifurcation diagram and largest Lyapunov exponents. Another parts deal with circuitry realization and the influence of parasitic properties of active elements. The circuit simulations obtained by PSpice environment and the practical measurement results on a breadboard are presented in the last part of this paper. The main aim of this work is an innovative realization of the memristor based chaotic circuit with one type of energy-storage element (linear passive capacitor) and with simpler construction in comparison to other circuits. The next contribution consists in verification of designed circuit with respect to influence of parasitic properties of active elements to chaos destruction.

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Deptartment of Radio Electronics, Brno University of Technology, Purkyˇnova 118, 612 00 Brno, Czech Republic

Universite Paris-Est, ESYCOM, ESIEE Paris, BP99, 93162 Noisy Le Grand Cedex, France

Journal of Electrical Engineering

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"Analysis and Synthesis of Chaotic Circuits using Memristor Properties"}

This paper provides an innovative practical realization of a memristor based chaotic circuit. The first part discusses the mathematical analysis of the...

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Published Online: Jun 17, 2014

Page range: 129 - 136

Received: May 12, 2013

DOI: https://doi.org/10.2478/jee-2014-0020

Keywords
differential equations, nonlinear, eigenvalues, Lyapunov exponent, bifurcation, OTA, parasitic, plane projection

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Published Online: Jun 17, 2014

Page range: 129 - 136

Received: May 12, 2013

DOI: https://doi.org/10.2478/jee-2014-0020

Keywordsdifferential equations, nonlinear, eigenvalues, Lyapunov exponent, bifurcation, OTA, parasitic, plane projection

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords
differential equations, nonlinear, eigenvalues, Lyapunov exponent, bifurcation, OTA, parasitic, plane projection