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American Journal of Physics -- April 2004 -- Volume 72, Issue 4, pp. 503

Precision measurements of a simple chaotic circuit

Ken Kiers1, Dory Schmidt1, and J. C. Sprott2

1Department of Physics, Taylor University, Upland, Indiana 46989
2Department of Physics, University of Wisconsin, Madison, Wisconsin 53706

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We describe a simple nonlinear electrical circuit that can be used to study chaotic phenomena. The circuit employs simple electronic elements such as diodes, resistors, and operational amplifiers, and is easy to construct. A novel feature of the circuit is its use of an almost ideal nonlinear element, which is straightforward to model theoretically and leads to excellent agreement between experiment and theory. For example, comparisons of bifurcation points and power spectra give agreement to within 1%. The circuit yields a broad range of behavior and is well suited for qualitative demonstrations and as a serious research tool.© 2004 American Association of Physics Teachers.

© 2004 American Association of Physics Teachers

KEYWORDS and PACS

Keywords

teaching, chaos, diodes, resistors, operational amplifiers, bifurcation

PACS

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History
Received Jun 2003
Accepted Aug 2003
Online Mar 2004

PUBLICATION DATA

ISSN

0002-9505 (print)  

Publisher

$abstract.society.value is a Member of CrossRef American Association of Physics Teachers

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1119/1.1621031

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