A note on the uniform limit of transitive dynamical systems
Fedeli, Alessandro ; Le Donne, Attilio
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 59-66 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this note we study the dynamical behaviour of the uniform limit of a sequence of continuous self-maps on a compact metric space satisfying (topological) transitivity or other related properties. Moreover, some conditions for the transitivity of a limit are given.
Publié le : 2009-02-15
Classification:  (topological) transitivity,  chaos,  uniform convergence,  chain-transitivity,  shadowing property,  37B05,  40A30,  54H20 
@article{1235574192,
     author = {Fedeli, Alessandro and Le Donne, Attilio},
     title = {A note on the uniform limit of transitive dynamical systems},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 59-66},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574192}
}

Fedeli, Alessandro; Le Donne, Attilio. A note on the uniform limit of transitive dynamical systems. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  59-66. http://gdmltest.u-ga.fr/item/1235574192/