Geometry of Arnold diffusion

Vadim Kaloshin, Mark Levi

Research output: Contribution to journalReview articlepeer-review

23 Scopus citations

Abstract

The goal of this paper is to present to nonspecialists what is perhaps the simplest 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 ℝn with energy prescribed and to the geodesic flow in a Riemannian metric on ℝn.

Original languageEnglish (US)
Pages (from-to)702-720
Number of pages19
JournalSIAM Review
Volume50
Issue number4
DOIs
StatePublished - Nov 24 2008

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computational Mathematics
  • Applied Mathematics

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