Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set

被引：4

作者：

Graff, Grzegorz ^{[1
]}

机构：

[1] Gdansk Univ Technol, Fac Appl Phys & Math, Narutowicza 11-12, PL-80233 Gdansk, Poland

来源：

ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 06期

关键词：

Fixed point index; Diffeomorphisms; Low-dimensional dynamics; Iterates; CONLEY INDEX; MAPS; HOMEOMORPHISMS; PLANE;

D O I：

10.1007/s00013-018-1180-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be an -diffeomorphism, where , for which is an isolated invariant set. We determine all possible forms of the sequences of fixed point indices of iterates of f at 0, , confirming in the conjecture of Ruiz del Portal and Salazar (J Differ Equ 249, 989-1013, 2010).

引用

页码：617 / 627

页数：11

共 21 条

[1] THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING [J].