Chaos in the Gylden problem

被引：13

作者：

Diacu, F ^{[1
]}

Selaru, D

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Inst Gravitat & Space Sci, Lab Gravitat, Bucharest, Romania

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 12期

关键词：

D O I：

10.1063/1.532663

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Gylden problem-a perturbation of the Kepler problem via an explicit function of time. For certain general classes of planar periodic perturbations, after proving a Poincare'-Melnikov-type criterion, we find a manifold of orbits in which the dynamics is given by the shift automorphism on the set of bi-infinite sequences with infinitely many symbols. We achieve the main result by computing the Melnikov integral explicitly. (C) 1998 American Institute of Physics. [S0022-2488(98)01912-4].

引用

页码：6537 / 6546

页数：10

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