Invariants for smooth conjugacy of hyperbolic dynamical systems. I
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.
scientific article; zbMATH DE number 4022228