Chaotic Phenomena in Nonlinear Circuits with Time-Varying Resistors

Yoshifumi NISHIO; Shinsaku MORI

Chaotic Phenomena in Nonlinear Circuits with Time-Varying Resistors

Yoshifumi NISHIO, Shinsaku MORI

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.3 pp.467-475

Publication Date: 1993/03/25

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Type of Manuscript: PAPER

Category: Nonlinear Phenomena and Analysis

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Yoshifumi NISHIO, Shinsaku MORI, "Chaotic Phenomena in Nonlinear Circuits with Time-Varying Resistors" in IEICE TRANSACTIONS on Fundamentals, vol. E76-A, no. 3, pp. 467-475, March 1993, doi: .
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e76-a_3_467/_p

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@ARTICLE{e76-a_3_467,
author={Yoshifumi NISHIO, Shinsaku MORI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Chaotic Phenomena in Nonlinear Circuits with Time-Varying Resistors},
year={1993},
volume={E76-A},
number={3},
pages={467-475},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Chaotic Phenomena in Nonlinear Circuits with Time-Varying Resistors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 467
EP - 475
AU - Yoshifumi NISHIO
AU - Shinsaku MORI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1993
AB - 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.
ER -