A simple proof of the Grobman-Hartman theorem for nonuniformly hyperbolic flows

DOI10.1016/j.na.2011.07.036zbMath1234.37024OpenAlexW2078160936MaRDI QIDQ642584

Claudia Valls, Luis Barreira

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.036

zbMATH Keywords

Hölder regularityGrobman-Hartman theorem

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Perturbations of delay equations, Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach, Nonuniform contractions and converse stability results via a smooth topological equivalence, Boundness and linearisation of a class of differential equations with piecewise constant argument, Differentiability of Palmer's linearization theorem and converse result for density functions, New results on linearization of differential equations with piecewise constant argument

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