Expansiveness, Shadowing and Markov Partition for Anosov Families
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Publication:6345117
arXiv2007.07424MaRDI QIDQ6345117
Raquel Ribeiro, Jeovanny Muentes
Publication date: 14 July 2020
Abstract: 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 this paper we prove that a certain class of Anosov families: (i) admit canonical coordinates (ii) are expansive, (iii) satisfy the shadowing property, and (iv) exhibit a Markov partition.
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonautonomous smooth dynamical systems (37C60)
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