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Another proof for \(C^1\) stability conjecture for flows - MaRDI portal

Another proof for \(C^1\) stability conjecture for flows (Q1286701)

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scientific article; zbMATH DE number 1281452
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Another proof for \(C^1\) stability conjecture for flows
scientific article; zbMATH DE number 1281452

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    Another proof for \(C^1\) stability conjecture for flows (English)
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    11 October 1999
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    The purpose of this paper is to present another proof for \(C^1\) stability conjecture for flows on a compact \(n\)-dimensional \(C^\infty\) Riemannian manifold without boundary \((n>1)\). Using the \(C^1\) connecting lemma and the concepts obstruction, minimal rambling set, the author manages to prove the \(C^1\) structural stability conjecture for flows.
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    Axiom A
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    obstruction set
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    stability conjecture
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    \(C^1\)-connecting lemma
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    minimal rambling set
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