An example of Arnold diffusion for near-integrable Hamiltonians
Kaloshin V, Levi M. 2008. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 45(3), 409–427.
Download
No fulltext has been uploaded. References only!
Journal Article
| Published
| English
Author
Kaloshin, VadimISTA 
;
Levi, Mark
;
Levi, MarkAbstract
In this paper, using the ideas of Bessi and Mather, we present a simple mechanical system exhibiting Arnold diffusion. This system of a particle in a small periodic potential can be also interpreted as ray propagation in a periodic optical medium with a near-constant index of refraction. Arnold diffusion in this context manifests itself as an arbitrary finite change of direction for nearly constant index of refraction.
Keywords
Publishing Year
Date Published
2008-07-01
Journal Title
Bulletin of the American Mathematical Society
Publisher
American Mathematical Society
Volume
45
Issue
3
Page
409-427
ISSN
IST-REx-ID
Cite this
Kaloshin V, Levi M. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 2008;45(3):409-427. doi:10.1090/s0273-0979-08-01211-1
Kaloshin, V., & Levi, M. (2008). An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/s0273-0979-08-01211-1
Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable Hamiltonians.” Bulletin of the American Mathematical Society. American Mathematical Society, 2008. https://doi.org/10.1090/s0273-0979-08-01211-1.
V. Kaloshin and M. Levi, “An example of Arnold diffusion for near-integrable Hamiltonians,” Bulletin of the American Mathematical Society, vol. 45, no. 3. American Mathematical Society, pp. 409–427, 2008.
Kaloshin V, Levi M. 2008. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 45(3), 409–427.
Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable Hamiltonians.” Bulletin of the American Mathematical Society, vol. 45, no. 3, American Mathematical Society, 2008, pp. 409–27, doi:10.1090/s0273-0979-08-01211-1.
Google Scholar