Title :
Controlling chaos in a chaotic circuit controlled by voltage pulse
Author :
Inaba, Naohiko ; Nitanai, Takashi
Author_Institution :
Dept. of Inf. Sci., Utsunomiya Univ., Japan
Abstract :
In this paper, we discuss controlling chaos in a chaotic circuit. Our circuit is a negative resistance LC oscillator whose amplitude is controlled by DC voltage pulses. First, we show that the Poincare map of this oscillator is derived rigorously as a one-dimensional mapping. This mapping satisfies Li-Yorke´s extended period three condition. Hence, the mapping has a n-periodic point for any natural number n, and the appearance of chaos in Li-Yorke´s sense is explained. Furthermore, an occasional proportional feedback method (OPF method) for piecewise-linear systems is applied to this oscillator. Each unstable orbit can be stabilized, and periodic orbits with one to ten period are successfully stabilized in circuit experiments
Keywords :
Poincare mapping; active networks; chaos; circuit stability; feedback oscillators; negative resistance devices; piecewise-linear techniques; DC voltage pulses; Li-Yorke´s extended period three condition; Poincare map; chaotic circuit; n-periodic point; negative resistance LC oscillator; occasional proportional feedback method; one-dimensional mapping; periodic orbits; piecewise-linear systems; unstable orbit; Chaos; Feedback; Logistics; Piecewise linear techniques; Pulse circuits; Pulse generation; Space vector pulse width modulation; Threshold voltage; Voltage control; Voltage-controlled oscillators;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621832
