Geometry of Arnold diffusion

Kaloshin V, Levi M. 2008. Geometry of Arnold diffusion. SIAM Review. 50(4), 702–720.

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Journal Article | Published | English
Author
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 ${\mathbb R}^{n}$ with energy prescribed and to the geodesic flow in a Riemannian metric on ${\mathbb R}^{n} $.
Publishing Year
Date Published
2008-11-05
Journal Title
SIAM Review
Volume
50
Issue
4
Page
702-720
IST-REx-ID

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Kaloshin V, Levi M. Geometry of Arnold diffusion. SIAM Review. 2008;50(4):702-720. doi:10.1137/070703235
Kaloshin, V., & Levi, M. (2008). Geometry of Arnold diffusion. SIAM Review. Society for Industrial & Applied Mathematics. https://doi.org/10.1137/070703235
Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” SIAM Review. Society for Industrial & Applied Mathematics, 2008. https://doi.org/10.1137/070703235.
V. Kaloshin and M. Levi, “Geometry of Arnold diffusion,” SIAM Review, vol. 50, no. 4. Society for Industrial & Applied Mathematics, pp. 702–720, 2008.
Kaloshin V, Levi M. 2008. Geometry of Arnold diffusion. SIAM Review. 50(4), 702–720.
Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” SIAM Review, vol. 50, no. 4, Society for Industrial & Applied Mathematics, 2008, pp. 702–20, doi:10.1137/070703235.

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