Periods of Morse-Smale diffeomorphisms of 𝕊²

Juan Luis García Guirao; Jaume Llibre

Colloquium Mathematicae (2008)

  • Volume: 110, Issue: 2, page 477-483
  • ISSN: 0010-1354

Abstract

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The aim of this paper is to describe the set of periods of a Morse-Smale diffeomorphism of the two-dimensional sphere according to its homotopy class. The main tool for proving this is the Lefschetz fixed point theory.

How to cite

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Juan Luis García Guirao, and Jaume Llibre. "Periods of Morse-Smale diffeomorphisms of 𝕊²." Colloquium Mathematicae 110.2 (2008): 477-483. <http://eudml.org/doc/284337>.

@article{JuanLuisGarcíaGuirao2008,
abstract = {The aim of this paper is to describe the set of periods of a Morse-Smale diffeomorphism of the two-dimensional sphere according to its homotopy class. The main tool for proving this is the Lefschetz fixed point theory.},
author = {Juan Luis García Guirao, Jaume Llibre},
journal = {Colloquium Mathematicae},
keywords = {Lefschetz fixed point theorem; zeta function; set of periods; sphere; periodic orbits},
language = {eng},
number = {2},
pages = {477-483},
title = {Periods of Morse-Smale diffeomorphisms of 𝕊²},
url = {http://eudml.org/doc/284337},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Juan Luis García Guirao
AU - Jaume Llibre
TI - Periods of Morse-Smale diffeomorphisms of 𝕊²
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 477
EP - 483
AB - The aim of this paper is to describe the set of periods of a Morse-Smale diffeomorphism of the two-dimensional sphere according to its homotopy class. The main tool for proving this is the Lefschetz fixed point theory.
LA - eng
KW - Lefschetz fixed point theorem; zeta function; set of periods; sphere; periodic orbits
UR - http://eudml.org/doc/284337
ER -

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