A simple proof of the invariant torus theorem

  • Jacques Féjoz, JACQUES FÉJOZ
  • Published 2017


We give a simple proof of Kolmogorov’s theorem on the persistence of a quasiperiodic invariant torus in Hamiltonian systems. The theorem is first reduced to a well-posed inversion problem (Herman’s normal form) by switching the frequency obstruction from one side of the conjugacy to another. Then the proof consists in applying a simple, well suited, inverse… (More)


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