A New Chaotic Jerk Circuit

A New Chaotic Jerk Circuit

Much recent interest has been given to simple chaotic oscillators based on jerk equations that involve a third-time derivative of a single scalar variable. The simplest such equation has yet to be electronically implemented. This paper describes a particularly elegant circuit whose operation is accu...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Vol. 58; no. 4; pp. 240 - 243
Main Author: Sprott, J C
Format: Journal Article
Language:English
Published: New York IEEE 01-04-2011
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Analog computers
Bifurcation
Chaos
Chaos theory
Circuits
Derivatives
Differential equations
Diodes
feedback circuits
jerk functions
Light emitting diodes
Mathematical analysis
Mathematical model
nonlinear systems
Nonlinearity
Oscillators
Scalars
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Summary:Much recent interest has been given to simple chaotic oscillators based on jerk equations that involve a third-time derivative of a single scalar variable. The simplest such equation has yet to be electronically implemented. This paper describes a particularly elegant circuit whose operation is accurately described by a simple variant of that equation in which the requisite nonlinearity is provided by a single diode and for which the analysis is particularly straightforward.
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ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2011.2124490