Known results and open problems on \(\mathcal C^1\) linearization in Banach spaces

DOI10.11606/issn.2316-9028.v6i2p375-384zbMath1341.37010OpenAlexW1996661304WikidataQ121770329 ScholiaQ121770329MaRDI QIDQ386132

Hildebrando M. Rodrigues, Joan Solà-Morales

Publication date: 13 December 2013

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11606/issn.2316-9028.v6i2p375-384

zbMATH Keywords

dynamical systemsHartman-Grobman theoremlinearization in infinite dimensionssmooth linearization

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (7)

Nonuniform contractions and converse stability results via a smooth topological equivalence ⋮ Chaos induced by sliding phenomena in Filippov systems ⋮ A new example on Lyapunov stability ⋮ Differentiability of the conjugacy in the Hartman-Grobman Theorem ⋮ On a differentiable linearization theorem of Philip Hartman ⋮ Differentiability with respect to parameters in global smooth linearization ⋮ An example on Lyapunov stability and linearization

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