Title :
A New Chaotic Jerk Circuit
Author_Institution :
Dept. of Phys., Univ. of Wisconsin, Madison, WI, USA
fDate :
4/1/2011 12:00:00 AM
Abstract :
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.
Keywords :
chaos; oscillators; chaotic jerk circuit; chaotic oscillator; third-time derivative; Bifurcation; Chaos; Differential equations; Light emitting diodes; Mathematical model; Oscillators; Analog computers; chaos; differential equations; feedback circuits; jerk functions; nonlinear systems; oscillators;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2011.2124490