[{"abstract":[{"lang":"eng","text":"We study a Cr nearly integrable Hamiltonian system  defined on 𝕋3 × ℝ3. Let  and µΣ1 be the restriction of Lebesgue measure on 𝕋3 × ℝ3 to ∑. We prove there is a perturbation ,  and an orbit (q(t), p(t)): ℝ → 𝕋3 × ℝ3 of the Hamiltonian equation  such that ."}],"status":"public","author":[{"first_name":"Vadim","orcid":"0000-0002-6051-2628","last_name":"Kaloshin","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"},{"first_name":"KE","last_name":"ZHANG","full_name":"ZHANG, KE"},{"first_name":"YONG","full_name":"ZHENG, YONG","last_name":"ZHENG"}],"publication_status":"published","day":"01","citation":{"ama":"Kaloshin V, ZHANG K, ZHENG Y. Almost dense orbit on energy surface. In: <i>XVIth International Congress on Mathematical Physics</i>. World Scientific; 2010:314-322. doi:<a href=\"https://doi.org/10.1142/9789814304634_0017\">10.1142/9789814304634_0017</a>","mla":"Kaloshin, Vadim, et al. “Almost Dense Orbit on Energy Surface.” <i>XVIth International Congress on Mathematical Physics</i>, World Scientific, 2010, pp. 314–22, doi:<a href=\"https://doi.org/10.1142/9789814304634_0017\">10.1142/9789814304634_0017</a>.","short":"V. Kaloshin, K. ZHANG, Y. ZHENG, in:, XVIth International Congress on Mathematical Physics, World Scientific, 2010, pp. 314–322.","ista":"Kaloshin V, ZHANG K, ZHENG Y. 2010. Almost dense orbit on energy surface. XVIth International Congress on Mathematical Physics. International Congress on Mathematical Physics, 314–322.","ieee":"V. Kaloshin, K. ZHANG, and Y. ZHENG, “Almost dense orbit on energy surface,” in <i>XVIth International Congress on Mathematical Physics</i>, Prague, Czech Republic, 2010, pp. 314–322.","apa":"Kaloshin, V., ZHANG, K., &#38; ZHENG, Y. (2010). Almost dense orbit on energy surface. In <i>XVIth International Congress on Mathematical Physics</i> (pp. 314–322). Prague, Czech Republic: World Scientific. <a href=\"https://doi.org/10.1142/9789814304634_0017\">https://doi.org/10.1142/9789814304634_0017</a>","chicago":"Kaloshin, Vadim, KE ZHANG, and YONG ZHENG. “Almost Dense Orbit on Energy Surface.” In <i>XVIth International Congress on Mathematical Physics</i>, 314–22. World Scientific, 2010. <a href=\"https://doi.org/10.1142/9789814304634_0017\">https://doi.org/10.1142/9789814304634_0017</a>."},"type":"conference","_id":"8507","publication_identifier":{"isbn":["9789814304627","9789814304634"]},"extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"None","quality_controlled":"1","publication":"XVIth International Congress on Mathematical Physics","date_updated":"2021-01-12T08:19:46Z","page":"314-322","article_processing_charge":"No","publisher":"World Scientific","title":"Almost dense orbit on energy surface","language":[{"iso":"eng"}],"month":"03","year":"2010","doi":"10.1142/9789814304634_0017","date_published":"2010-03-01T00:00:00Z","conference":{"end_date":"2009-08-08","name":"International Congress on Mathematical Physics","location":"Prague, Czech Republic","start_date":"2009-08-03"},"date_created":"2020-09-18T10:47:56Z"}]