Kaloshin, Vadim and Levi, Mark (2008) An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society, 45 (3). pp. 409-427. ISSN 0273-0979 http://resolver.caltech.edu/CaltechAUTHORS:KALbams08
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Abstract
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.
| Item Type: | Article | ||||||||
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| Additional Information: | © 2008 American Mathematical Society. Received by the editors March 3, 2007, and, in revised form, September 17, 2007. Article electronically published on April 9, 2008. The first author was partially supported by the Sloan Foundation and NSF grants, DMS-0701271. The second author was partially supported by NSF grant DMS-0605878. | ||||||||
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| Subject Keywords: | systems; orbits | ||||||||
| Record Number: | CaltechAUTHORS:KALbams08 | ||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:KALbams08 | ||||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 13561 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Tony Diaz | ||||||||
| Deposited On: | 08 May 2009 20:53 | ||||||||
| Last Modified: | 26 Dec 2012 10:52 |
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