IEICE TRANSACTIONS on Fundamentals
A Repeated Appearance of Period-1 Attractor in a Driven R-L-Diode Circuit: Experimental and Theoretical Bifurcation Analysis
Summary :
The paper clarifies the bifurcation mechanism responsible for a repeated appearance of period-one attractors in an R-L-Diode circuit driven by a sinusoidal voltage source E sin 2πft. Extensive measurements are performed to observe bifurcation diagrams in the f-E parameter space. After several simplifications of the dynamics, exact bifurcation equations are derived and analyzed. A major finding is that all the period-one attractors of our interest belong to the same family in the f-E parameter-space.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.6 pp.1406-1413
- Publication Date
- 1991/06/25
- Publicized
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- Special Section PAPER (Special Issue on Nonlinear Theory and Its Applications)
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Satoshi TANAKA, Jun NOGUCHI, Shinichi HIGUCHI, Takashi MATSUMOTO, "A Repeated Appearance of Period-1 Attractor in a Driven R-L-Diode Circuit: Experimental and Theoretical Bifurcation Analysis" in IEICE TRANSACTIONS on Fundamentals,
vol. E74-A, no. 6, pp. 1406-1413, June 1991, doi: .
Abstract: The paper clarifies the bifurcation mechanism responsible for a repeated appearance of period-one attractors in an R-L-Diode circuit driven by a sinusoidal voltage source E sin 2πft. Extensive measurements are performed to observe bifurcation diagrams in the f-E parameter space. After several simplifications of the dynamics, exact bifurcation equations are derived and analyzed. A major finding is that all the period-one attractors of our interest belong to the same family in the f-E parameter-space.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e74-a_6_1406/_p
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@ARTICLE{e74-a_6_1406,
author={Satoshi TANAKA, Jun NOGUCHI, Shinichi HIGUCHI, Takashi MATSUMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Repeated Appearance of Period-1 Attractor in a Driven R-L-Diode Circuit: Experimental and Theoretical Bifurcation Analysis},
year={1991},
volume={E74-A},
number={6},
pages={1406-1413},
abstract={The paper clarifies the bifurcation mechanism responsible for a repeated appearance of period-one attractors in an R-L-Diode circuit driven by a sinusoidal voltage source E sin 2πft. Extensive measurements are performed to observe bifurcation diagrams in the f-E parameter space. After several simplifications of the dynamics, exact bifurcation equations are derived and analyzed. A major finding is that all the period-one attractors of our interest belong to the same family in the f-E parameter-space.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - A Repeated Appearance of Period-1 Attractor in a Driven R-L-Diode Circuit: Experimental and Theoretical Bifurcation Analysis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1406
EP - 1413
AU - Satoshi TANAKA
AU - Jun NOGUCHI
AU - Shinichi HIGUCHI
AU - Takashi MATSUMOTO
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1991
AB - The paper clarifies the bifurcation mechanism responsible for a repeated appearance of period-one attractors in an R-L-Diode circuit driven by a sinusoidal voltage source E sin 2πft. Extensive measurements are performed to observe bifurcation diagrams in the f-E parameter space. After several simplifications of the dynamics, exact bifurcation equations are derived and analyzed. A major finding is that all the period-one attractors of our interest belong to the same family in the f-E parameter-space.
ER -
English
