Periodic points of latitudinal maps of the $m$-dimensional sphere

Grzegorz Graff; Michał Misiurewicz; Piotr Nowak-Przygodzki

doi:10.3934/dcds.2016070

Periodic points of latitudinal maps of the $m$-dimensional sphere

Abstract

Let f be a smooth self-map of the m-dimensional sphere Sm. Under the assumption that f preserves latitudinal foliations with the fibres S1, we estimate from below the number of fixed points of the iterates of f. The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz.

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Authors (3)

Grzegorz Graff prof. dr hab.
Michał Misiurewicz
- Purdue University Indianapolis .
Piotr Nowak-Przygodzki
- . .

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Keywords

PERIODIC POINTS, TOPOLOGICAL DEGREE, SMOOTH MAPS.

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS no. 36, edition 11, pages 6187 - 6199,
ISSN: 1078-0947
Language:: English
Publication year:: 2016
Bibliographic description:: Graff G., Misiurewicz M., Nowak-Przygodzki P.: Periodic points of latitudinal maps of the $m$-dimensional sphere// DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. -Vol. 36, iss. 11 (2016), s.6187-6199
DOI:: Digital Object Identifier (open in new tab) 10.3934/dcds.2016070
Verified by:: Gdańsk University of Technology