A Method for Computing Singular Points and Bifurcation Points of Quasiperiodic Solutions to Quasiperiodic Differential Systems
Summary :
This paper is concerned with singular points and bifurcation points of quasiperiodic solutions to quasiperiodic differential systems. In fact, from the results of numerical experiments, we can observe such points in Duffing's equation with a quasiperiodic forcing term. The purpose of this paper is to propose a method for computing them. The essential idea of our method is to compute a quasiperiodic solution to an enlarged differential system which consists of an original quasiperiodic system and an additional differential system corresponding to the first variation equation of the original system. By making use of the Poincar
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- IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.6 pp.1447-1454
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- 1991/06/25
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- Special Section PAPER (Special Issue on Nonlinear Theory and Its Applications)
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Norio YAMAMOTO, "A Method for Computing Singular Points and Bifurcation Points of Quasiperiodic Solutions to Quasiperiodic Differential Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E74-A, no. 6, pp. 1447-1454, June 1991, doi: .
Abstract: This paper is concerned with singular points and bifurcation points of quasiperiodic solutions to quasiperiodic differential systems. In fact, from the results of numerical experiments, we can observe such points in Duffing's equation with a quasiperiodic forcing term. The purpose of this paper is to propose a method for computing them. The essential idea of our method is to compute a quasiperiodic solution to an enlarged differential system which consists of an original quasiperiodic system and an additional differential system corresponding to the first variation equation of the original system. By making use of the Poincar
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e74-a_6_1447/_p
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@ARTICLE{e74-a_6_1447,
author={Norio YAMAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Method for Computing Singular Points and Bifurcation Points of Quasiperiodic Solutions to Quasiperiodic Differential Systems},
year={1991},
volume={E74-A},
number={6},
pages={1447-1454},
abstract={This paper is concerned with singular points and bifurcation points of quasiperiodic solutions to quasiperiodic differential systems. In fact, from the results of numerical experiments, we can observe such points in Duffing's equation with a quasiperiodic forcing term. The purpose of this paper is to propose a method for computing them. The essential idea of our method is to compute a quasiperiodic solution to an enlarged differential system which consists of an original quasiperiodic system and an additional differential system corresponding to the first variation equation of the original system. By making use of the Poincar
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - A Method for Computing Singular Points and Bifurcation Points of Quasiperiodic Solutions to Quasiperiodic Differential Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1447
EP - 1454
AU - Norio YAMAMOTO
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1991
AB - This paper is concerned with singular points and bifurcation points of quasiperiodic solutions to quasiperiodic differential systems. In fact, from the results of numerical experiments, we can observe such points in Duffing's equation with a quasiperiodic forcing term. The purpose of this paper is to propose a method for computing them. The essential idea of our method is to compute a quasiperiodic solution to an enlarged differential system which consists of an original quasiperiodic system and an additional differential system corresponding to the first variation equation of the original system. By making use of the Poincar
ER -
English
