Topological Transitivity on the Torus
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 549-551

Voir la notice de l'article provenant de la source Cambridge

DOI

T. Ding has shown that a topologically transitive flow on the torus given by a real analytic vector field is orbitally equivalent to a Kronecker flow on the torus, modified so as to have a finite number of fixed points, provided the original flow had only a finite number of fixed points. In this paper it is shown that the assumption that there are only finitely many fixed points is unnecessary.
DOI : 10.4153/CMB-1994-080-3
Mots-clés : 58F25
Schwartzman, Sol. Topological Transitivity on the Torus. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 549-551. doi: 10.4153/CMB-1994-080-3
@article{10_4153_CMB_1994_080_3,
     author = {Schwartzman, Sol},
     title = {Topological {Transitivity} on the {Torus}},
     journal = {Canadian mathematical bulletin},
     pages = {549--551},
     year = {1994},
     volume = {37},
     number = {4},
     doi = {10.4153/CMB-1994-080-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-080-3/}
}
TY  - JOUR
AU  - Schwartzman, Sol
TI  - Topological Transitivity on the Torus
JO  - Canadian mathematical bulletin
PY  - 1994
SP  - 549
EP  - 551
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-080-3/
DO  - 10.4153/CMB-1994-080-3
ID  - 10_4153_CMB_1994_080_3
ER  - 
%0 Journal Article
%A Schwartzman, Sol
%T Topological Transitivity on the Torus
%J Canadian mathematical bulletin
%D 1994
%P 549-551
%V 37
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-080-3/
%R 10.4153/CMB-1994-080-3
%F 10_4153_CMB_1994_080_3

Cité par Sources :