Title :
The hysteresis chaos generator family
Author :
Saito, Toshimichi
Author_Institution :
Sagami Inst. of Technol., Fujisawa, Japan
Abstract :
Chaos and related phenomena in a simple autonomous circuit family consisting of a resistor, inductor, capacitor, negative resistance, and one hysteresis resistor are investigated. All the circuits in this family are described by an n-dimensional canonical piecewise-linear equation containing one small parameter ε. In the case where ε is small enough, the analysis is simplified into the hysteretic connecting n-1-dimensional linear system. Therefore, a sufficient condition of chaos generation is rigorously derived for n=3, and an interesting transition from torus to chaos is verified for n=4
Keywords :
chaos; function generators; nonlinear network analysis; oscillators; RLC with hysteresis resistor; condition of chaos generation; hysteresis chaos generator family; n-dimensional canonical piecewise-linear equation; negative resistance; simple autonomous circuit family; transition from torus to chaos; Capacitors; Chaos; Circuits; Equations; Hysteresis; Inductors; Joining processes; Linear systems; Piecewise linear techniques; Resistors;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo
DOI :
10.1109/ISCAS.1988.14857
