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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-10,
author = {Juan Luis Garc\'\i a Guirao and Jaume Llibre},
title = {Periods of Morse-Smale diffeomorphisms of S2},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {477-483},
zbl = {1132.37015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-10}
}
Juan Luis García Guirao; Jaume Llibre. Periods of Morse-Smale diffeomorphisms of 𝕊². Colloquium Mathematicae, Tome 111 (2008) pp. 477-483. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-10/