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
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;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921457
