DocumentCode
1745050
Title
Bifurcation from a 3-D hysteresis piecewise-constant circuit
Author
Tsubone, Tadashi ; Hoshino, Kenichi ; Saito, Toshimichi
Author_Institution
Dept. of Electr. & Electron. Eng., Hosei Univ., Tokyo, Japan
Volume
3
fYear
2001
fDate
6-9 May 2001
Firstpage
815
Abstract
We propose a 3-D hysteresis piecewise-constant circuit. The circuit consists of linear capacitors and nonlinear voltage controlled current sources. This circuit is extremely simple, but exhibits interesting bifurcation phenomena. The right-hand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map. Using the return map, the bifurcation phenomena are clarified almost completely
Keywords
active networks; bifurcation; chaos generators; hysteresis; nonlinear network synthesis; piecewise linear techniques; 3D hysteresis piecewise-constant circuit; bifurcation; linear capacitors; nonlinear voltage controlled current sources; piecewise-constant; piecewise-linear return map; state equation; system dynamics; Bifurcation; Capacitors; Chaos; Hysteresis; Nonlinear dynamical systems; Nonlinear equations; Operational amplifiers; Piecewise linear techniques; Switching circuits; Voltage control;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.921457
Filename
921457
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