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 language | English (US) |
|---|---|
| Pages (from-to) | 702-720 |
| Number of pages | 19 |
| Journal | SIAM Review |
| Volume | 50 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2008 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computational Mathematics
- Applied Mathematics
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