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

Yôji Aizawa, Nobuhiko Saitô

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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.

Original languageEnglish
Pages (from-to)1636-1640
Number of pages5
JournalJournal of the Physical Society of Japan
Issue number6
Publication statusPublished - 1972 Jun


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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