Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2007 / Article
Special Issue

Dynamics and Control in Sciences and Engineering

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Research Article | Open Access

Volume 2007 |Article ID 83893 | 16 pages | https://doi.org/10.1155/2007/83893

Inductorless Chua's Circuit: Experimental Time Series Analysis

Academic Editor: José Manoel Balthazar
Received08 Sep 2006
Revised06 Nov 2006
Accepted11 Feb 2007
Published04 Mar 2007

Abstract

We have implemented an operational amplifier inductorless realization of the Chua's circuit. We have registered time series from its dynamical variables with the resistor R as the control parameter and varying from 1300 Ω to 2000 Ω. Experimental time series at fixed R were used to reconstruct attractors by the delay vector technique. The flow attractors and their Poincaré maps considering parameters such as the Lyapunov spectrum, its subproduct the Kaplan-Yorke dimension, and the information dimension are also analyzed here. The results for a typical double scroll attractor indicate a chaotic behavior characterized by a positive Lyapunov exponent and with a Kaplan-Yorke dimension of 2.14. The occurrence of chaos was also investigated through numerical simulations of the Chua's circuit set of differential equations.

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Copyright © 2007 R. M. Rubinger et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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