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Chaotic Phenomena in Nonlinear Circuits with Time-Varying Resistors
Yoshifumi NISHIO Shinsaku MORI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1993/03/25
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Phenomena and Analysis
chaos, parametric excitation circuit, one-dimensional map,
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In this paper, four simple nonlinear circuits with time-varying resistors are analyzed. These circuits consist of only four elements; a inductor, a capacitor, a diode and a time-varying resistor and are a kind of parametric excitation circuits whose dissipation factors vary with time. In order to analyze chaotic phenomena observed from these circuits a degeneration technique is used, that is, diodes in the circuits are assumed to operate as ideal switches. Thereby the Poincar maps are derived as one-dimensional maps and chaotic phenomena are well explained. Moreover, validity of the analyzing method is confirmed theoretically and experimentally.