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

Yôji Aizawa, Nobuhiko Saitô

研究成果: Article

38 引用 (Scopus)

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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.

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
32
発行部数6
出版物ステータスPublished - 1972 6

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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