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arXiv · 1405.6733

Geometric proof of the Grobman-Hartman Theorem

Piotr Zgliczyński
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Abstract

We give geometric proofs for Grobman-Hartman theorem for diffeomorphisms and ODEs. Proofs use covering relations and cone conditions for maps and isolating segments and cone condition for ODEs. We prove also the H\"older condition for the conjugating homeomorphims.

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Piotr Zgliczyński. 2014-05-26. Geometric proof of the Grobman-Hartman Theorem. https://arxiv.org/abs/1405.6733

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