Published July 2008
| Version Published
Journal Article
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An example of Arnold diffusion for near-integrable Hamiltonians
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.
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.Attached Files
Published - KALbams08.pdf
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KALbams08.pdf
Additional details
Identifiers
- Eprint ID
- 13561
- Resolver ID
- CaltechAUTHORS:KALbams08
Funding
- Sloan Foundation
- NSF
- DMS-0701271
- NSF
- DMS-0605878
Dates
- Created
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2009-05-08Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field