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;
2024-01-01

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.
2024
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/483204
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