Theoretical and experimental time series analysis of an inductorless Chua's circuit

被引：19

作者：

Albuquerque, Holokx A. ^{[1
]}

Rubinger, Rero M.

Rech, Paulo C.

机构：

[1] Univ Estado Santa Catarina, Dept Fis, BR-89223 Joinville, Brazil

[2] Univ Fed Itajuba, Dept Fis & Quim, BR-37500 Itajuba, Brazil

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2007年 / 233卷 / 01期

关键词：

inductorless chua's circuit; time series; numerical simulations; lyapunov exponents;

D O I：

10.1016/j.physd.2007.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we have analyzed the time series obtained from an experimental realization of an inductorless version of Chua's circuit. We have also compared the experimental results with the results emerging by analysis of the time series obtained by numerical simulations of the respective model equations. Lyapunov exponent spectra, the Kaplan-Yorke dimension and phase-space diagrams were used to show the similarities between theoretical and experimental results. We were able to identify the effects of the operational amplifier simulated inductor internal resistance on the Chua's circuit dynamics. Decreasing internal resistance for decreasing current through the circuit was responsible for the observed bifurcation route. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：66 / 72

页数：7

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