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. Electronic Journal of Differential Equations, 2017(172), pp. 1-11.
Rights
Attribution 4.0 International