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