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Invariants for smooth conjugacy of hyperbolic dynamical systems. I

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Abstract

We prove that the Lyapunov exponents of periodic orbits are a total family of invariants forC ∞ 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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Authors and Affiliations

  1. Department of Mathematics, Universidad Autónoma de Madrid, E-28049, Madrid, Spain

    J. M. Marco & R. Moriyón

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  1. J. M. Marco
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  2. R. Moriyón
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Communicated by J. Mather

Supported by CAICYT grant 397/84

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Marco, J.M., Moriyón, R. Invariants for smooth conjugacy of hyperbolic dynamical systems. I. Commun.Math. Phys. 109, 681–689 (1987). https://doi.org/10.1007/BF01208962

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  • DOI: https://doi.org/10.1007/BF01208962

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