Melnikov method for parabolic orbits

被引：3

作者：

Casasayas, J

Faisca, P

Nunes, A

机构：

[1] Univ Barcelona, Dept Mat Aplicada & Analisi, E-08007 Barcelona, Spain

[2] Univ Lisbon, CFMC, P-1649003 Lisbon, Portugal

[3] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2003年 / 10卷 / 01期

关键词：

Melnikov's method; homoclinic orbits; parabolic orbits;

D O I：

10.1007/s00030-003-1031-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present work completes the study of the conditions under which Melnikov method can be used when the unperturbed system has a parabolic periodic orbit with a homoclinic loop, by considering the case of orbits whose associated Poicare map has linear part equal to the identity. The result is that the conditions for the persistence under perturbation of the invariant manifolds also ensure the convergence of the Melnikov integral and hence the applicability of the method.

引用

页码：119 / 131

页数：13

共 18 条

[1]

Arrowsmith D.K., 1990, INTRO DYNAMICAL SYST

[2] INVARIANT-MANIFOLDS FOR A CLASS OF PARABOLIC POINTS [J].