Simple Autonomous Chaotic Circuits

Over the last several decades, numerous electronic circuits exhibiting chaos have been proposed. Nonautonomous circuits with as few as two physical components have been developed. However, the operation of such circuits has typically traded physical simplicity for analytic complexity, or vice versa....

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2010-09, Vol.57 (9), p.730-734
Main Authors: Piper, Jessica R, Sprott, J C
Format: Article
Language:English
Subjects:
Autonomous
Bifurcation
Capacitors
Chaos
Chaos theory
Circuits
Comparators
Counting
Eigenvalues and eigenfunctions
Electronic circuits
Integrated circuit modeling
Mathematical analysis
Mathematical model
nonlinear circuits
oscillators
Passive components
Resistors
Vices
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Summary:Over the last several decades, numerous electronic circuits exhibiting chaos have been proposed. Nonautonomous circuits with as few as two physical components have been developed. However, the operation of such circuits has typically traded physical simplicity for analytic complexity, or vice versa. In this brief, we present two simple autonomous chaotic circuits using only op-amps and linear time-invariant passive components. Each circuit employs one op-amp as a comparator to provide signum nonlinearity. The chaotic behavior is robust, and the circuits offer simple analysis, while minimizing both physical and model component counts.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2010.2058493