### 抄録

The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ^{2}+ẏ^{2}+x^{2}+y^{2}+2x ^{2}y+2/3y^{3}-4/3εy^{3}), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.

元の言語 | English |
---|---|

ページ（範囲） | 1636-1640 |

ページ数 | 5 |

ジャーナル | Journal of the Physical Society of Japan |

巻 | 32 |

発行部数 | 6 |

出版物ステータス | Published - 1972 6 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### これを引用

*Journal of the Physical Society of Japan*,

*32*(6), 1636-1640.

**On the stability of isolating integrals. I. Effect of the perturbation in the potential function.** / Aizawa, Yôji; Saitô, Nobuhiko.

研究成果: Article

*Journal of the Physical Society of Japan*, 巻. 32, 番号 6, pp. 1636-1640.

}

TY - JOUR

T1 - On the stability of isolating integrals. I. Effect of the perturbation in the potential function

AU - Aizawa, Yôji

AU - Saitô, Nobuhiko

PY - 1972/6

Y1 - 1972/6

N2 - The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ2+ẏ2+x2+y2+2x 2y+2/3y3-4/3εy3), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.

AB - The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ2+ẏ2+x2+y2+2x 2y+2/3y3-4/3εy3), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.

UR - http://www.scopus.com/inward/record.url?scp=0001167764&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001167764&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001167764

VL - 32

SP - 1636

EP - 1640

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

ER -