Global Saddles for Planar Maps

被引：0

作者：

Alarcon, B. ^{[1
]}

Castro, S. B. S. D. ^{[2
,3
]}

Labouriau, I. S. ^{[2
,4
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, Dept Matemat Aplicada, Rua Prof Marcos Waldemar de Freitas Reis S-N, BR-24210201 Sao Domingos Niteroi, RJ, Brazil

[2] Univ Porto, Ctr Matemat, Rua Campo Alegre 687, P-4169007 Porto, Portugal

[3] Fac Econ Porto, Rua Dr Roberto Frias, P-4200464 Porto, Portugal

[4] Univ Porto, Fac Ciencias, Rua Campo Alegre 687, P-4169007 Porto, Portugal

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2018年 / 30卷 / 02期

关键词：

Planar maps; Symmetry; Local and global dynamics; Saddles; FIXED-POINT; HOMEOMORPHISMS;

D O I：

10.1007/s10884-016-9561-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of -symmetric maps, for which we obtain a similar result for homeomorphisms. Some applications to differential equations are also given.

引用

页码：601 / 612

页数：12

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