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American Journal of Physics -- August 2000 -- Volume 68, Issue 8, pp. 758

Simple chaotic systems and circuits

J. C. Sprott

Department of Physics, University of Wisconsin, Madison, Wisconsin 53706

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Many new chaotic systems with algebraically simple representations are described. These systems involve a single third-order autonomous ordinary differential equation (jerk equation) with various nonlinearities. Piecewise linear functions are emphasized to permit easy electronic implementation with diodes and operational amplifiers. Several new simple and robust chaotic electrical circuits are described and evaluated. © 2000 American Association of Physics Teachers.

© 2000 American Association of Physics Teachers

KEYWORDS and PACS

PACS

  • 01.50.-i

    Educational aids

  • 05.45.-a

    Nonlinear dynamics and chaos

  • 02.60.Lj

    Ordinary and partial differential equations; boundary value problems

  • 02.30.Hq

    Ordinary differential equations

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History
Received Aug 1999
Accepted Nov 1999

PUBLICATION DATA

ISSN

0002-9505 (print)  

ARTICLE DATA


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