{"month":"07","publisher":"American Mathematical Society","page":"409-427","article_processing_charge":"No","intvolume":"        45","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","extern":"1","title":"An example of Arnold diffusion for near-integrable Hamiltonians","issue":"3","keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"day":"01","date_published":"2008-07-01T00:00:00Z","date_updated":"2021-01-12T08:19:47Z","status":"public","publication":"Bulletin of the American Mathematical Society","year":"2008","type":"journal_article","doi":"10.1090/s0273-0979-08-01211-1","author":[{"last_name":"Kaloshin","full_name":"Kaloshin, Vadim","orcid":"0000-0002-6051-2628","first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"},{"last_name":"Levi","full_name":"Levi, Mark","first_name":"Mark"}],"date_created":"2020-09-18T10:48:20Z","oa_version":"None","abstract":[{"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.","lang":"eng"}],"citation":{"short":"V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008) 409–427.","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>","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>.","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.","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>.","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>"},"volume":45,"quality_controlled":"1","publication_identifier":{"issn":["0273-0979"]},"article_type":"original","_id":"8510"}