Luis Barreira, Davor Dragicevic, Claudia Valls
Abstract:
We obtain in a simpler manner versions of the Grobman-Hartman theorem
and of the stable manifold theorem for a sequence of maps on a Banach space,
which corresponds to consider a nonautonomous dynamics with discrete time.
The proofs are made short by using a suspension to an infinite-dimensional
space that makes the dynamics autonomous (and uniformly hyperbolic when
originally it was nonuniformly hyperbolic).
Submitted February 9, 2017. Published July 7, 2017.
Math Subject Classifications: 37D99.
Key Words: Conjugacies; nonuniform hyperbolicity; stable manifolds.
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| Luis Barreira Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa 1049-001 Lisboa, Portugal email: barreira@math.tecnico.ulisboa.pt | |
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Davor Dragicevic School of Mathematics and Statistics University of New South Wales Sydney NSW 2052, Australia email: d.dragicevic@unsw.edu.au |
| Claudia Valls Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa 1049-001 Lisboa, Portugal email: cvalls@math.tecnico.ulisboa.pt |
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