On a linearization theorem of Sternberg for germs of diffeomorphisms

DOI10.1007/BF01214976zbMath0506.57018MaRDI QIDQ1836910

Patrick Bonckaert, Freddy Dumortier

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173387

zbMATH Keywords

Sobolev spaceperturbationlinearization theorem of Sternberg for germs of diffeomorphismsnon- resonance conditions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differentiable maps on manifolds (58C25) Manifolds of mappings (58D15) Differential topological aspects of diffeomorphisms (57R50)

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On Cherry flows ⋮ Smooth dependence of nonautonomous linearization on parameters ⋮ A Sternberg theorem for nonautonomous differential equations ⋮ Normal forms for nonautonomous differential equations

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