---
_id: '8510'
abstract:
- lang: eng
  text: 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.
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Mark
  full_name: Levi, Mark
  last_name: Levi
citation:
  ama: Kaloshin V, Levi M. An example of Arnold diffusion for near-integrable Hamiltonians.
    <i>Bulletin of the American Mathematical Society</i>. 2008;45(3):409-427. doi:<a
    href="https://doi.org/10.1090/s0273-0979-08-01211-1">10.1090/s0273-0979-08-01211-1</a>
  apa: Kaloshin, V., &#38; Levi, M. (2008). An example of Arnold diffusion for near-integrable
    Hamiltonians. <i>Bulletin of the American Mathematical Society</i>. American Mathematical
    Society. <a href="https://doi.org/10.1090/s0273-0979-08-01211-1">https://doi.org/10.1090/s0273-0979-08-01211-1</a>
  chicago: Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable
    Hamiltonians.” <i>Bulletin of the American Mathematical Society</i>. American
    Mathematical Society, 2008. <a href="https://doi.org/10.1090/s0273-0979-08-01211-1">https://doi.org/10.1090/s0273-0979-08-01211-1</a>.
  ieee: V. Kaloshin and M. Levi, “An example of Arnold diffusion for near-integrable
    Hamiltonians,” <i>Bulletin of the American Mathematical Society</i>, vol. 45,
    no. 3. American Mathematical Society, pp. 409–427, 2008.
  ista: Kaloshin V, Levi M. 2008. An example of Arnold diffusion for near-integrable
    Hamiltonians. Bulletin of the American Mathematical Society. 45(3), 409–427.
  mla: Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable
    Hamiltonians.” <i>Bulletin of the American Mathematical Society</i>, vol. 45,
    no. 3, American Mathematical Society, 2008, pp. 409–27, doi:<a href="https://doi.org/10.1090/s0273-0979-08-01211-1">10.1090/s0273-0979-08-01211-1</a>.
  short: V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008)
    409–427.
date_created: 2020-09-18T10:48:20Z
date_published: 2008-07-01T00:00:00Z
date_updated: 2021-01-12T08:19:47Z
day: '01'
doi: 10.1090/s0273-0979-08-01211-1
extern: '1'
intvolume: '        45'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
month: '07'
oa_version: None
page: 409-427
publication: Bulletin of the American Mathematical Society
publication_identifier:
  issn:
  - 0273-0979
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
status: public
title: An example of Arnold diffusion for near-integrable Hamiltonians
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 45
year: '2008'
...