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.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computational Mathematics
- Applied Mathematics