Existence of conjugacies and stable manifolds via suspensions

Date

2017-07-07

Authors

Barreira, Luis
Dragicevic, Davor
Valls, Claudia

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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).

Description

Keywords

Conjugacies, Nonuniform hyperbolicity, Stable manifolds

Citation

Barreira, L., Dragicevic, D., & Valls, C. (2017). Existence of conjugacies and stable manifolds via suspensions. <i>Electronic Journal of Differential Equations, 2017</i>(172), pp. 1-11.

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Attribution 4.0 International

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