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Some Remarks on Anosov Families
Jeovanny de Jesus Muentes Acevedo, Raquel Ribeiro
We study Anosov families which are sequences of diffeomorphisms along compact Riemannian manifolds such that the tangent bundle split into expanding and contracting subspaces. In t…
On Various Types of Shadowing for Geometric Lorenz Flows
A. Arbieto, J. E. Reis, R. Ribeiro
We show that Lorenz flows have neither limit shadowing property nor average shadowing property nor the asymptotic average shadowing property where the reparametrizations related to…
Conservative flows with various types of shadowing
Mario Bessa, Raquel Ribeiro
In the present paper we study the C1-robustness of the three properties: average shadowing, asymptotic average shadowing and limit shadowing within two classes of conservative flow…
Hyperbolicity and Types of Shadowing for C1 Generic Vector Fields
Raquel Ribeiro
We study various types of shadowing properties and their implication for C1 generic vector fields. We show that, generically, any of the following three hypotheses implies that an…