Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. They are time-dependent dynamical systems with hyperbolic behavior. In addition to presenting several properties and examples of Anosov families, in this paper we build local stable and local manifolds for such families.
"Local stable and unstable manifolds for Anosov families." Hokkaido Math. J. 48 (3) 513 - 535, October 2019. https://doi.org/10.14492/hokmj/1573722016