A generalized Grobman-Hartman theorem

DOI10.1090/PROC/15077zbMath1450.37018arXiv2001.04313OpenAlexW3008986832MaRDI QIDQ5117330

Nilson C. jun. Bernardes, Ali Messaoudi

Publication date: 20 August 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04313

zbMATH Keywords

linearizationstructural stabilityhyperbolicitylinear operatorsshadowing

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Invariant manifold theory for dynamical systems (37D10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (8)

Shift-like operators on \(L^p(X)\) ⋮ Expansivity and strong structural stability for composition operators on \(L^p\) spaces ⋮ A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Chain recurrence and average shadowing in dynamics ⋮ Generalized hyperbolic sets on Banach spaces ⋮ On shadowing and chain recurrence in linear dynamics ⋮ Two problems on weighted shifts in linear dynamics ⋮ Generalized hyperbolicity and shadowing in \(L^p\) spaces

Cites Work

• Expansivity and shadowing in linear dynamics
• On a theorem of Anosov
• A Lemma in the Theory of Structural Stability of Differential Equations
• On a Theorem of P. Hartman
• Topological conjugacy and structural stability for discrete dynamical systems
• On the Local Linearization of Differential Equations
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