Instability of a classical dynamical system with the negative curvature region

Yôji Aizawa

研究成果: Article査読

9 被引用数 (Scopus)

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.

本文言語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
33
6
出版ステータスPublished - 1972 12

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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