Title :
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
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;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112251
