Geometry of Arnold Diffusion

نویسندگان

  • Vadim Kaloshin
  • Mark Levi
چکیده

The goal of this paper is to present to non-specialists what is perhaps the simple possible geometrical picture explaining the mechanism of Arnold diffusion. We choose to speak of a specific model – that of geometric rays in a periodic optical medium. This model is equivalent to that of a particle in a periodic potential in R with energy prescribed and to the geodesic flow in a Riemannian metric on R.

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عنوان ژورنال:
  • SIAM Review

دوره 50  شماره 

صفحات  -

تاریخ انتشار 2008