Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy

DOI10.1007/s00209-018-2134-xzbMath1428.37021arXiv1710.06662OpenAlexW2963742294WikidataQ129478449 ScholiaQ129478449MaRDI QIDQ2312832

Davor Dragičević, Wei Nian Zhang, WenMeng Zhang

Publication date: 18 July 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06662

zbMATH Keywords

spectral gapnonautonomous difference equationsmooth linearizationnonuniform strong exponential dichotomy

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Nonautonomous smooth dynamical systems (37C60)

Related Items (11)

Existence and asymptotic properties of the solution of a nonlinear boundary-value problem on the real axis ⋮ A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Quasi-shadowing for partially hyperbolic dynamics on Banach spaces ⋮ Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line ⋮ Smooth dependence of nonautonomous linearization on parameters ⋮ Multiscale linearization of nonautonomous systems ⋮ Linearization for difference equations with infinite delay ⋮ A note on the differentiability of discrete Palmer's linearization ⋮ Smooth linearization of nonautonomous coupled systems ⋮ Linearization and Hölder continuity for nonautonomous systems ⋮ Shadowing for nonautonomous dynamics

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