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In this paper, we study the fundamental combinatorial nonlinear resonances of a system consisting of two identical periodic forced circuits coupled by a linear resistor. The circuit equations are described by a system of coupled Duffing's equations. We discuss two cases of external periodic force, i.e., in-phase and anti-phase, and obtain the bifurcation diagram of each case. Periodic solutions are classified according to the symmetrical property of the circuit. Resonances in the coupled system are explained from the combinatorial standpoint. That is, we introduce the definition of combinatorial resonances and investigate the patterns of combinatorial solutions in this system.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.3 pp.648-654

- Publication Date
- 2002/03/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Nonlinear Problems

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Yue MA, Hiroshi KAWAKAMI, "Combinatorial Resonances in Coupled Duffing's Circuits" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 3, pp. 648-654, March 2002, doi: .

Abstract: In this paper, we study the fundamental combinatorial nonlinear resonances of a system consisting of two identical periodic forced circuits coupled by a linear resistor. The circuit equations are described by a system of coupled Duffing's equations. We discuss two cases of external periodic force, i.e., in-phase and anti-phase, and obtain the bifurcation diagram of each case. Periodic solutions are classified according to the symmetrical property of the circuit. Resonances in the coupled system are explained from the combinatorial standpoint. That is, we introduce the definition of combinatorial resonances and investigate the patterns of combinatorial solutions in this system.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_3_648/_p

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@ARTICLE{e85-a_3_648,

author={Yue MA, Hiroshi KAWAKAMI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Combinatorial Resonances in Coupled Duffing's Circuits},

year={2002},

volume={E85-A},

number={3},

pages={648-654},

abstract={In this paper, we study the fundamental combinatorial nonlinear resonances of a system consisting of two identical periodic forced circuits coupled by a linear resistor. The circuit equations are described by a system of coupled Duffing's equations. We discuss two cases of external periodic force, i.e., in-phase and anti-phase, and obtain the bifurcation diagram of each case. Periodic solutions are classified according to the symmetrical property of the circuit. Resonances in the coupled system are explained from the combinatorial standpoint. That is, we introduce the definition of combinatorial resonances and investigate the patterns of combinatorial solutions in this system.},

keywords={},

doi={},

ISSN={},

month={March},}

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TY - JOUR

TI - Combinatorial Resonances in Coupled Duffing's Circuits

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 648

EP - 654

AU - Yue MA

AU - Hiroshi KAWAKAMI

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Fundamentals

SN -

VL - E85-A

IS - 3

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - March 2002

AB - In this paper, we study the fundamental combinatorial nonlinear resonances of a system consisting of two identical periodic forced circuits coupled by a linear resistor. The circuit equations are described by a system of coupled Duffing's equations. We discuss two cases of external periodic force, i.e., in-phase and anti-phase, and obtain the bifurcation diagram of each case. Periodic solutions are classified according to the symmetrical property of the circuit. Resonances in the coupled system are explained from the combinatorial standpoint. That is, we introduce the definition of combinatorial resonances and investigate the patterns of combinatorial solutions in this system.

ER -