Local stable and unstable manifolds for anosov families
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Date
2019
Authors
Muentes Acevedo, Jeovanny de Jesus,
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Abstract
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. © Hokkaido University.
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Acevedo, J. D. J. M. (2019). Local stable and unstable manifolds for Anosov families. Hokkaido Mathematical Journal, 48(3), 513-535.