Geodesic
Topological Transitivity and Strong Transitivity
Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 2 
A. Kameyama. Topological Transitivity and  Strong Transitivity. Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2002_71_2_a1/
@article{AMUC_2002_71_2_a1,
     author = {A. Kameyama},
     title = {Topological {Transitivity} and  {Strong} {Transitivity}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2002},
     volume = {71},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2002_71_2_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

We discuss the relation between (topological) transitivity and strong transitivity of dynamical systems. We show that a transitive and open self-map of a compact metric space satisfying a certain expanding condition is strongly transitive. We also prove a couple of results for interval maps; for example it is shown that a transitive piecewise monotone interval map is strongly transitive.