2 citations · 4 across the 4 of their papers we have counts for
5 papers
L-shadowing for the induced hyperspace homeomorphism
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro
We prove that a homeomorphism f of a compact metric space X satisfies the L-shadowing property if and only if its induced hyperspace homeomorphism also satisfies the L-shadowing pr…
Gluing-orbit property, local stable/unstable sets, and induced dynamics on hyperspace
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro +1
We prove that local stable/unstable sets of homeomorphisms of an infinite compact metric space satisfying the gluing-orbit property always contain compact and perfect subsets of th…
First-time sensitive homeomorphisms
Mayara Antunes, Bernardo Carvalho
We introduce first-time sensitivity for a homeomorphism of a compact metric space, that is a condition on the first increasing times of open balls of the space. Continuum-wise expa…
Chain Recurrence and Positive Shadowing in Linear Dynamics
Mayara Braz Antunes, Gabriel Elias Mantovani, Régis Varão
We study shadowing and chain recurrence in the context of linear operators acting on Banach spaces or even on normed vector spaces. We show that for linear operators there is only…
Sensitivity, local stable/unstable sets and shadowing
Mayara Antunes, Bernardo Carvalho, Margoth Tacuri
In this paper we study local stable/unstable sets of sensitive homeomorphisms with the shadowing property defined on compact metric spaces. We prove that local stable/unstable sets…