We consider open dynamical systems de ned on compact metric spaces with multiple shrinking holes. We study the points which are indecisive, i.e. change in nitely many times the escape hole as the holes shrink. We prove that, for transitive homeomorphisms, complete indecisiveness is generic. We provide examples of applications of the results.
Competing holes in open dynamical systems
Alessandro Della Corte
;Marco Farotti;
In corso di stampa
Abstract
We consider open dynamical systems de ned on compact metric spaces with multiple shrinking holes. We study the points which are indecisive, i.e. change in nitely many times the escape hole as the holes shrink. We prove that, for transitive homeomorphisms, complete indecisiveness is generic. We provide examples of applications of the results.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
