It is proved that the topological entropy of a surface diffeomorphism is
given by the growth rate of the number of periodic points of saddle type. It is also
shown that the number of periodic points with weak hyperbolicity is small.
Publié le : 2003-07-14
Classification:
37E30,
37B40,
37C35
@article{1150997945,
author = {Chung, Yong Moo and Hirayama, Michihiro},
title = {Topological entropy and periodic orbits of saddle type for surface diffeomorphisms},
journal = {Hiroshima Math. J.},
volume = {33},
number = {1},
year = {2003},
pages = { 189-195},
language = {en},
url = {http://dml.mathdoc.fr/item/1150997945}
}
Chung, Yong Moo; Hirayama, Michihiro. Topological entropy and periodic orbits of saddle type for surface diffeomorphisms. Hiroshima Math. J., Tome 33 (2003) no. 1, pp. 189-195. http://gdmltest.u-ga.fr/item/1150997945/