1Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena C/Paseo Alfonso XIII 30203 Cartagena, Spain 2Departament de Matemàtiques Universitat Autònoma de Barcelona Bellaterra, 08193 Barcelona, Catalunya, Spain
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 477-483
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.
Keywords:
paper describe set periods morse smale diffeomorphism two dimensional sphere according its homotopy class main tool proving lefschetz fixed point theory
Affiliations des auteurs :
Juan Luis García Guirao 
1
;
Jaume Llibre 
2
1
Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena C/Paseo Alfonso XIII 30203 Cartagena, Spain
2
Departament de Matemàtiques Universitat Autònoma de Barcelona Bellaterra, 08193 Barcelona, Catalunya, Spain
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author = {Juan Luis Garc{\'\i}a Guirao and Jaume Llibre},
title = {Periods of {Morse{\textendash}Smale} diffeomorphisms of $\mathbb S^2$},
journal = {Colloquium Mathematicum},
pages = {477--483},
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language = {en},
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Juan Luis García Guirao; Jaume Llibre. Periods of Morse–Smale diffeomorphisms of $\mathbb S^2$. Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 477-483. doi: 10.4064/cm110-2-10