Combinatorial Resonances in a Coupled Duffing's Circuit with Asymmetry
Summary :
A nonlinear circuit described by the forced Duffing's equation is known to display a rich variety of dynamical behavior. Coupling two Duffing's circuits by a linear resistor, we conclude that combinatorial resonances occur on weak coupling condition. In a coupled system, although symmetrical properties are usually observed, breaking of symmetry can lead to much more complex nonlinear resonant phenomena. In this paper, we discuss asymmetry in four cases of perturbation on parameters. Many bifurcation diagrams are presented. Comparing with symmetrical cases, we analyze the combinatorial resonances in coupled Duffing's circuit completely.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.9 pp.2340-2346
- Publication Date
- 2003/09/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Yue MA, Hiroshi KAWAKAMI, "Combinatorial Resonances in a Coupled Duffing's Circuit with Asymmetry" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 9, pp. 2340-2346, September 2003, doi: .
Abstract: A nonlinear circuit described by the forced Duffing's equation is known to display a rich variety of dynamical behavior. Coupling two Duffing's circuits by a linear resistor, we conclude that combinatorial resonances occur on weak coupling condition. In a coupled system, although symmetrical properties are usually observed, breaking of symmetry can lead to much more complex nonlinear resonant phenomena. In this paper, we discuss asymmetry in four cases of perturbation on parameters. Many bifurcation diagrams are presented. Comparing with symmetrical cases, we analyze the combinatorial resonances in coupled Duffing's circuit completely.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_9_2340/_p
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@ARTICLE{e86-a_9_2340,
author={Yue MA, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Combinatorial Resonances in a Coupled Duffing's Circuit with Asymmetry},
year={2003},
volume={E86-A},
number={9},
pages={2340-2346},
abstract={A nonlinear circuit described by the forced Duffing's equation is known to display a rich variety of dynamical behavior. Coupling two Duffing's circuits by a linear resistor, we conclude that combinatorial resonances occur on weak coupling condition. In a coupled system, although symmetrical properties are usually observed, breaking of symmetry can lead to much more complex nonlinear resonant phenomena. In this paper, we discuss asymmetry in four cases of perturbation on parameters. Many bifurcation diagrams are presented. Comparing with symmetrical cases, we analyze the combinatorial resonances in coupled Duffing's circuit completely.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Combinatorial Resonances in a Coupled Duffing's Circuit with Asymmetry
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2340
EP - 2346
AU - Yue MA
AU - Hiroshi KAWAKAMI
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2003
AB - A nonlinear circuit described by the forced Duffing's equation is known to display a rich variety of dynamical behavior. Coupling two Duffing's circuits by a linear resistor, we conclude that combinatorial resonances occur on weak coupling condition. In a coupled system, although symmetrical properties are usually observed, breaking of symmetry can lead to much more complex nonlinear resonant phenomena. In this paper, we discuss asymmetry in four cases of perturbation on parameters. Many bifurcation diagrams are presented. Comparing with symmetrical cases, we analyze the combinatorial resonances in coupled Duffing's circuit completely.
ER -
English
