Symmetrical Properties and Bifurcations of the Periodic Solutions for a Hybridly Coupled Oscillator
Summary :
In this paper we study the bifurcations of the periodic solutions induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type. By analogy with the results concerning with the equilibria, we classify the periodic solutions according to their spatial and temporal symmetries. We discuss the possible bifurcations of each type of periodic solution. Finally we analyze the phase portraits of the system when the parameters vary.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E78-A No.12 pp.1816-1821
- Publication Date
- 1995/12/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Olivier PAPY, Hiroshi KAWAKAMI, "Symmetrical Properties and Bifurcations of the Periodic Solutions for a Hybridly Coupled Oscillator" in IEICE TRANSACTIONS on Fundamentals,
vol. E78-A, no. 12, pp. 1816-1821, December 1995, doi: .
Abstract: In this paper we study the bifurcations of the periodic solutions induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type. By analogy with the results concerning with the equilibria, we classify the periodic solutions according to their spatial and temporal symmetries. We discuss the possible bifurcations of each type of periodic solution. Finally we analyze the phase portraits of the system when the parameters vary.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e78-a_12_1816/_p
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@ARTICLE{e78-a_12_1816,
author={Olivier PAPY, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Symmetrical Properties and Bifurcations of the Periodic Solutions for a Hybridly Coupled Oscillator},
year={1995},
volume={E78-A},
number={12},
pages={1816-1821},
abstract={In this paper we study the bifurcations of the periodic solutions induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type. By analogy with the results concerning with the equilibria, we classify the periodic solutions according to their spatial and temporal symmetries. We discuss the possible bifurcations of each type of periodic solution. Finally we analyze the phase portraits of the system when the parameters vary.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Symmetrical Properties and Bifurcations of the Periodic Solutions for a Hybridly Coupled Oscillator
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1816
EP - 1821
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 bifurcations of the periodic solutions induced by the symmetrical properties of a system of hybridly coupled oscillators of the Rayleigh type. By analogy with the results concerning with the equilibria, we classify the periodic solutions according to their spatial and temporal symmetries. We discuss the possible bifurcations of each type of periodic solution. Finally we analyze the phase portraits of the system when the parameters vary.
ER -
English
