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On the growth rate inequality for periodic points in the two sphere.

Tipo
Artículo de journal
Año
2019
Publisher
J. Difference Equ. Appl.
Número
2
Volúmen
25
Abstract

In this article we find a condition implying that the growth of the number of n-periodic points of a degree d map of the two-sphere is exponential with rate log |d|. This generalizes previous results on this matter.

Autores

Gerardo Honorato
Alvaro Rovella
Francisco Venezuela
Páginas
219-232
Keywords
Lefschetz’s index
growth rate inequality
low-dimensional dynamical systems
topological dynamics