Bulletin of the American Mathematical Society

Author(s): Vadim Kaloshin; Mark Levi
Journal: Bull. Amer. Math. Soc. 45 (2008), 409-427.
MSC (2000): Primary 70H08
Posted: April 9, 2008
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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.

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Retrieve articles in Bulletin of the American Mathematical Society with MSC (2000): 70H08

Vadim Kaloshin
Affiliation: Mathematics 253-37, California Institute of Technology, Pasadena, California 91125
Email: kaloshin@math.psu.edu

Mark Levi
Affiliation: Mathematics 253-37, California Institute of Technology, Pasadena, California 91125

DOI: 10.1090/S0273-0979-08-01211-1
PII: S 0273-0979(08)01211-1
Received by editor(s): March 3, 2007,
Received by editor(s) in revised form: September 17, 2007
Posted: April 9, 2008
Additional Notes: 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
Copyright of article: Copyright 2008, American Mathematical Society

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