Title :
Control of chaos from a piecewise linear hysteresis circuit
Author :
Saito, Toshimichi ; Mitsubori, Kunihiko
Author_Institution :
Dept. of Electr. & Electron. Eng., Hosei Univ., Koganei, Japan
fDate :
3/1/1995 12:00:00 AM
Abstract :
This paper proposes a simple control method of chaos from a piecewise linear hysteresis circuit. We can derive one dimensional return map rigorously from the circuit. It enables us to prove chaos generation and to calculate the initial value for the desired unstable periodic orbit (UPO). The control method uses occasional proportional feedback in each linear region and must stabilize the desired UPO in a theoretical sense. The robustness of the control method is verified by laboratory experiment
Keywords :
chaos; circuit feedback; circuit stability; nonlinear network analysis; piecewise-linear techniques; chaos control; chaos generation; linear region; one dimensional return map; piecewise linear hysteresis circuit; proportional feedback; robustness; unstable periodic orbit; Chaos; Circuit noise; Circuit simulation; Equations; Frequency; Hysteresis; Laboratories; Operational amplifiers; Piecewise linear techniques; Semiconductor device noise;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on