Chaotic phenomena in an autonomous circuit with nonlinear inductor

Author

Nishio, Yoshifumi ; Inaba, Naohiko ; Mori, Shinsaku

Author_Institution

Dept. of Electr. Eng., Keio Univ., Yokohama, Japan

fYear

1990

fDate

1-3 May 1990

Firstpage

942

Abstract

An analytic investigation is conducted of the chaotic phenomena in an autonomous circuit which contains a nonlinear inductor. The circuit dynamics are described by a three-dimensional piecewise-linear differential equation. In the case where the nonlinear inductor is assumed to have an ideal saturation φ-i characteristic, the solution of the equation is constrained onto a two-dimensional plane in a piecewise manner. Therefore, a one-dimensional Poincare map can be derived strictly, and it is proved to be chaos in the sense of Li-Yorke. The justifiability of the idealization of the nonlinear inductor is verified theoretically and experimentally

Keywords

chaos; inductors; nonlinear differential equations; nonlinear network analysis; piecewise-linear techniques; Li-Yorke chaos; autonomous circuit; chaotic phenomena; circuit dynamics; ideal saturation φ-i characteristic; idealization; nonlinear inductor; one-dimensional Poincare map; three-dimensional piecewise-linear differential equation; two-dimensional plane; Chaos; Differential equations; Equivalent circuits; Inductance; Inductors; Information science; Magnetic circuits; Nonlinear equations; Piecewise linear techniques; Resistors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112251

Filename

112251