### 抄録

The classical dynamical system can have the negative curvature region where orbital instability takes place. But it is not yet clear whether this system has instability in the large. To see this a dynamical system with the hamiltonian (equation) is studied by the method of the surface of section. The system does not have negative curvature for ε ^{z.ast;}≤0 but can have negative curvature locally for ε ^{z.ast;}≥0. For the case of ε ^{z.ast;}≤0 isolating integrals exist globally, but for the case of ε ^{z.ast;}≥0 the instability zone extends to larger region beyond that of negative curvature.

元の言語 | English |
---|---|

ページ（範囲） | 1693-1696 |

ページ数 | 4 |

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

巻 | 33 |

発行部数 | 6 |

出版物ステータス | Published - 1972 12 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### これを引用

*Journal of the Physical Society of Japan*,

*33*(6), 1693-1696.

**Instability of a classical dynamical system with the negative curvature region.** / Aizawa, Yôji.

研究成果: Article

*Journal of the Physical Society of Japan*, 巻. 33, 番号 6, pp. 1693-1696.

}

TY - JOUR

T1 - Instability of a classical dynamical system with the negative curvature region

AU - Aizawa, Yôji

PY - 1972/12

Y1 - 1972/12

N2 - The classical dynamical system can have the negative curvature region where orbital instability takes place. But it is not yet clear whether this system has instability in the large. To see this a dynamical system with the hamiltonian (equation) is studied by the method of the surface of section. The system does not have negative curvature for ε z.ast;≤0 but can have negative curvature locally for ε z.ast;≥0. For the case of ε z.ast;≤0 isolating integrals exist globally, but for the case of ε z.ast;≥0 the instability zone extends to larger region beyond that of negative curvature.

AB - The classical dynamical system can have the negative curvature region where orbital instability takes place. But it is not yet clear whether this system has instability in the large. To see this a dynamical system with the hamiltonian (equation) is studied by the method of the surface of section. The system does not have negative curvature for ε z.ast;≤0 but can have negative curvature locally for ε z.ast;≥0. For the case of ε z.ast;≤0 isolating integrals exist globally, but for the case of ε z.ast;≥0 the instability zone extends to larger region beyond that of negative curvature.

UR - http://www.scopus.com/inward/record.url?scp=0001966905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001966905&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001966905

VL - 33

SP - 1693

EP - 1696

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

ER -