---
_id: '8507'
abstract:
- lang: eng
  text: "We study a Cr nearly integrable Hamiltonian system  defined on \U0001D54B3
    × ℝ3. Let  and µΣ1 be the restriction of Lebesgue measure on \U0001D54B3 × ℝ3
    to ∑. We prove there is a perturbation ,  and an orbit (q(t), p(t)): ℝ → \U0001D54B3
    × ℝ3 of the Hamiltonian equation  such that ."
article_processing_charge: No
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: KE
  full_name: ZHANG, KE
  last_name: ZHANG
- first_name: YONG
  full_name: ZHENG, YONG
  last_name: ZHENG
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>'
  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>.
  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.
  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.
  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.
conference:
  end_date: 2009-08-08
  location: Prague, Czech Republic
  name: International Congress on Mathematical Physics
  start_date: 2009-08-03
date_created: 2020-09-18T10:47:56Z
date_published: 2010-03-01T00:00:00Z
date_updated: 2021-01-12T08:19:46Z
day: '01'
doi: 10.1142/9789814304634_0017
extern: '1'
language:
- iso: eng
month: '03'
oa_version: None
page: 314-322
publication: XVIth International Congress on Mathematical Physics
publication_identifier:
  isbn:
  - '9789814304627'
  - '9789814304634'
publication_status: published
publisher: World Scientific
quality_controlled: '1'
status: public
title: Almost dense orbit on energy surface
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2010'
...