DocumentCode
3556648
Title
The hysteresis chaos generator family
Author
Saito, Toshimichi
Author_Institution
Sagami Inst. of Technol., Fujisawa, Japan
fYear
1988
fDate
7-9 Jun 1988
Firstpage
15
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location
Espoo
Type
conf
DOI
10.1109/ISCAS.1988.14857
Filename
14857
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