Symmetrical Properties and Bifurcations of the Equilibria for a Resistively Coupled Oscillator with Hybrid Connection

Olivier PAPY; Hiroshi KAWAKAMI

Symmetrical Properties and Bifurcations of the Equilibria for a Resistively Coupled Oscillator with Hybrid Connection

Olivier PAPY, Hiroshi KAWAKAMI

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In this paper we study the properties induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type on the bifurcations of its equilibria. We first discuss the symmetrical properties of the system. Then we classify the equilibria according to their symmetrical properties. Demonstrating the structural degeneracy of the system, we give the complete stability analysis of the equilibria.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E78-A No.12 pp.1822-1827

Publication Date: 1995/12/25

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Type of Manuscript: PAPER

Category: Nonlinear Problems

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Olivier PAPY, Hiroshi KAWAKAMI, "Symmetrical Properties and Bifurcations of the Equilibria for a Resistively Coupled Oscillator with Hybrid Connection" in IEICE TRANSACTIONS on Fundamentals, vol. E78-A, no. 12, pp. 1822-1827, December 1995, doi: .
Abstract: In this paper we study the properties induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type on the bifurcations of its equilibria. We first discuss the symmetrical properties of the system. Then we classify the equilibria according to their symmetrical properties. Demonstrating the structural degeneracy of the system, we give the complete stability analysis of the equilibria.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e78-a_12_1822/_p

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@ARTICLE{e78-a_12_1822,
author={Olivier PAPY, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Symmetrical Properties and Bifurcations of the Equilibria for a Resistively Coupled Oscillator with Hybrid Connection},
year={1995},
volume={E78-A},
number={12},
pages={1822-1827},
abstract={In this paper we study the properties induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type on the bifurcations of its equilibria. We first discuss the symmetrical properties of the system. Then we classify the equilibria according to their symmetrical properties. Demonstrating the structural degeneracy of the system, we give the complete stability analysis of the equilibria.},
keywords={},
doi={},
ISSN={},
month={December},}

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TY - JOUR
TI - Symmetrical Properties and Bifurcations of the Equilibria for a Resistively Coupled Oscillator with Hybrid Connection
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1822
EP - 1827
AU - Olivier PAPY
AU - Hiroshi KAWAKAMI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E78-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1995
AB - In this paper we study the properties induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type on the bifurcations of its equilibria. We first discuss the symmetrical properties of the system. Then we classify the equilibria according to their symmetrical properties. Demonstrating the structural degeneracy of the system, we give the complete stability analysis of the equilibria.
ER -