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- W2024254539 abstract "A well known theorem of Hartman and Grobman says that a C 2 diffeomorphism f : R n → R n with a hyperbolic fixed point at 0 can be topologically conjugated to the linear diffeomorphism L = df (0) (in a neighborhood of 0). On the other hand, if a non-planar map has resonance, then linearization may not be C 1 . A counter-example is due to P. Hartman (see [H2]). In this paper we will show that for any α ∈(0, 1) there exists an α -Hölder linearization in a neighborhood of 0 for the counterexample of Hartman. No resonance condition will be required. A linearization of a more general map will be discussed." @default.
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- W2024254539 date "1998-08-01" @default.
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- W2024254539 title "α-Hölder Linearization" @default.
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- W2024254539 doi "https://doi.org/10.1006/jdeq.1997.3410" @default.
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