Bifurcation Phenomena of a Distributed Parameter System with a Nonlinear Element Having Negative Resistance
Summary :
Dynamic behavior of a distributed parameter system described by the one-dimensional wave equation with a nonlinear boundary condition is examined in detail using a graphical method proposed by Witt on a digital computer. The bifurcation diagram, homoclinic orbit and one-dimensional map are obtained and examined. Results using an analog simulator are introduced and compared with that of the graphical method. The discrepancy between these results is considered, and from the comparison among the bifurcation diagrams obtained by the graphical method, it is denoted that the energy dissipation in the system considerably restrains the chaotic state in the bifurcation process.
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- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.3 pp.339-346
- Publication Date
- 1992/03/25
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- Special Section PAPER (Special Section on the 4th Karuizawa Workshop on Circuits and Systems)
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Hideo NAKANO, Hideaki OKAZAKI, "Bifurcation Phenomena of a Distributed Parameter System with a Nonlinear Element Having Negative Resistance" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 3, pp. 339-346, March 1992, doi: .
Abstract: Dynamic behavior of a distributed parameter system described by the one-dimensional wave equation with a nonlinear boundary condition is examined in detail using a graphical method proposed by Witt on a digital computer. The bifurcation diagram, homoclinic orbit and one-dimensional map are obtained and examined. Results using an analog simulator are introduced and compared with that of the graphical method. The discrepancy between these results is considered, and from the comparison among the bifurcation diagrams obtained by the graphical method, it is denoted that the energy dissipation in the system considerably restrains the chaotic state in the bifurcation process.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_3_339/_p
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@ARTICLE{e75-a_3_339,
author={Hideo NAKANO, Hideaki OKAZAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Bifurcation Phenomena of a Distributed Parameter System with a Nonlinear Element Having Negative Resistance},
year={1992},
volume={E75-A},
number={3},
pages={339-346},
abstract={Dynamic behavior of a distributed parameter system described by the one-dimensional wave equation with a nonlinear boundary condition is examined in detail using a graphical method proposed by Witt on a digital computer. The bifurcation diagram, homoclinic orbit and one-dimensional map are obtained and examined. Results using an analog simulator are introduced and compared with that of the graphical method. The discrepancy between these results is considered, and from the comparison among the bifurcation diagrams obtained by the graphical method, it is denoted that the energy dissipation in the system considerably restrains the chaotic state in the bifurcation process.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Bifurcation Phenomena of a Distributed Parameter System with a Nonlinear Element Having Negative Resistance
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 339
EP - 346
AU - Hideo NAKANO
AU - Hideaki OKAZAKI
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1992
AB - Dynamic behavior of a distributed parameter system described by the one-dimensional wave equation with a nonlinear boundary condition is examined in detail using a graphical method proposed by Witt on a digital computer. The bifurcation diagram, homoclinic orbit and one-dimensional map are obtained and examined. Results using an analog simulator are introduced and compared with that of the graphical method. The discrepancy between these results is considered, and from the comparison among the bifurcation diagrams obtained by the graphical method, it is denoted that the energy dissipation in the system considerably restrains the chaotic state in the bifurcation process.
ER -
English
