Simple Autonomous Chaotic Circuits
Jessica R. Piper, Student
Member,
IEEE, and
J. C. Sprott
ABSTRACT
ABSTRACT
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.
(Manuscript received February 12, 2010; revised April 19, 2010;
accepted June 7, 2010. Date of publication August 30, 2010; date
of
current version September 15, 2010.)
Ref: J. R. Piper and
J. C. Sprott, IEEE Transactions on
Circuits and
Systems--II: Express Briefs
57,
730-734 (2010)