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.
|ジャーナル||Journal of the Physical Society of Japan|
|出版ステータス||Published - 1972 6|
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