Transversal homoclinic orbits in the collinear restricted three-body problem

被引：8

作者：

Llibre, J ^{[1
]}

Perez-Chavela, E

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09340, DF, Mexico

来源：

JOURNAL OF NONLINEAR SCIENCE | 2005年 / 15卷 / 01期

关键词：

Melnikov method; homoclinic loop; McGehee coordinates;

D O I：

10.1007/s00332-004-0511-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the perturbation method of Melnikov, we prove in a simple way the existence of transversal homoclinic points in the collinear restricted three-body problem. As a consequence we can embed a Bernoulli shift on a suitable cross section of the flow, showing easily that this problem possesses chaotic dynamics.

引用

页码：1 / 10

页数：10

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