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
收藏
页码：601 / 612
页数：12
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