On discontinuous transitive maps and dense orbits
Fedeli, Alessandro
Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 241-245 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
It is well-known that many transitive continuous self-maps have a dense orbit. On the other hand several interesting transitive dynamical systems present some kind of discontinuity. Motivated by a result of A. Peris, we investigate under which conditions a discontinuous transitive map has a dense orbit.
Publié le : 2006-06-14
Classification:  transitive map,  dense orbit,  26A18,  37B05,  54H20,  54E52 
@article{1148059460,
     author = {Fedeli, Alessandro},
     title = {On discontinuous transitive maps and dense orbits},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 241-245},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148059460}
}

Fedeli, Alessandro. On discontinuous transitive maps and dense orbits. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  241-245. http://gdmltest.u-ga.fr/item/1148059460/