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arXiv 1405.6733math.DS
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Grobman-Hartman定理的几何证明

Geometric proof of the Grobman-Hartman Theorem

Piotr Zgliczyński

摘要:

本文给出了非同态和常微分方程的Grobman-Hartman定理的几何证明。证明使用覆盖关系和锥条件映射和隔离段和锥条件常微分方程。我们还证明了共轭同胚的赫尔德条件。

英文摘要:

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 Hölder condition for the conjugating homeomorphims.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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