Article Contents
Article Contents

# Semi-hyperbolicity and hyperbolicity

• We prove that for $\mathcal{C}^1$-diffeomorfisms semi-hyperbolicity of an invariant set implies its hyperbolicity. Moreover, we provide some exact estimations of hyperbolicity constants by semi-hyperbolicity ones, which can be useful in strict numerical computations.
Mathematics Subject Classification: Primary: 37D05, 37D20, Secondary: 37M99.

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