Arnold Diffusion in A Priori Chaotic Symplectic Maps

  title={Arnold Diffusion in A Priori Chaotic Symplectic Maps},
  author={V. Gelfreich and Dmitry Turaev},
We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder and an associated transverse homoclinic cylinder. We prove that generically in the real-analytic category the boundaries of the invariant cylinder are connected by trajectories of the map. 

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