On the Connection Between Global Centers and Global Injectivity in the Plane

被引：3

作者：

Braun, Francisco ^{[1
]}

Llibre, Jaume ^{[2
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2023年 / 33卷 / 1期

基金：

巴西圣保罗研究基金会;

关键词：

Centers; Global injectivity; Real Jacobian conjecture; ISOCHRONICITY;

D O I：

10.1007/s12591-023-00630-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we revisit a result of Sabatini relating global injectivity of polynomial maps to global centers in the plane. We deliver a generalization of this result for C-2 maps defined on connected sets. The shape of the image is taking into account. Here we do not use Hadamard's invertibility theorem.

引用

页码：71 / 79

页数：9

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