An invertible contraction that is not \(C^1\)-linearizable

DOI10.1016/j.crma.2005.04.028zbMath1069.37063OpenAlexW2070092534MaRDI QIDQ556956

Hildebrando M. Rodrigues, Joan Solà-Morales

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.04.028

zbMATH Keywords

\({\mathcal C}^1\)-linearization in infinite dimensions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (3)

Invertible contractions and asymptotically stable ODE's that are not \({\mathcal C}^1\)-linearizable ⋮ Singularities in dynamics: a catastrophic viewpoint ⋮ On the Hartman-Grobman theorem with parameters

Cites Work

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• Linearization of class \(C^{1}\) for contractions on Banach spaces
• The Hartman-Grobman theorem for reversible systems on Banach spaces
• On a theorem of Philip Hartman
• Smooth linearization for a saddle on Banach spaces
• On a Theorem of P. Hartman
• Local contractions of Banach spaces and spectral gap conditions

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