INVARIANT-MANIFOLDS FOR A CLASS OF PARABOLIC POINTS

被引：24

作者：

CASASAYAS, J ^{[1
]}

FONTICH, E ^{[1
]}

NUNES, A ^{[1
]}

机构：

[1] UNIV AUTONOMA BARCELONA,CTR RECERCA MATEMAT,E-08193 BARCELONA,SPAIN

来源：

NONLINEARITY | 1992年 / 5卷 / 05期

关键词：

D O I：

10.1088/0951-7715/5/5/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of maps having the origin as a parabolic fixed point with a non-diagonalizable linear part, degenerate in the sense that it has a line of fixed points through it, and we give conditions for the existence and regularity of invariant manifolds. This class is motivated from Poincare maps of flows appearing in celestial mechanics.

引用

页码：1193 / 1210

页数：18

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[4]

SLOTNICK DL, 1958, CONTRIBUTIONS THEORY, V4, P85

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