Invariants for smooth conjugacy of hyperbolic dynamical systems. I (Q1093227)
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scientific article; zbMATH DE number 4022228
| Language | Label | Description | Also known as |
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| English | Invariants for smooth conjugacy of hyperbolic dynamical systems. I |
scientific article; zbMATH DE number 4022228 |
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Invariants for smooth conjugacy of hyperbolic dynamical systems. I (English)
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1987
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We prove that the Lyapunov exponents of periodic orbits are a total family of invariants for \(C^{\infty}\) conjugation of families of diffeomorphisms to a two-dimensional toral automorphism. In case of families of canonical diffeomorphisms, the corresponding conjugating diffeomorphisms are also canonical.
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Lyapunov exponents of periodic orbits
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\(C^{\infty }\) conjugation
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