---
_id: '8500'
abstract:
- lang: eng
text: The main model studied in this paper is a lattice of pendula with a nearest‐neighbor
coupling. If the coupling is weak, then the system is near‐integrable and KAM
tori fill most of the phase space. For all KAM trajectories the energy of each
pendulum stays within a narrow band for all time. Still, we show that for an arbitrarily
weak coupling of a certain localized type, the neighboring pendula can exchange
energy. In fact, the energy can be transferred between the pendula in any prescribed
way.
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
- first_name: Maria
full_name: Saprykina, Maria
last_name: Saprykina
citation:
ama: Kaloshin V, Levi M, Saprykina M. Arnol′d diffusion in a pendulum lattice. Communications
on Pure and Applied Mathematics. 2014;67(5):748-775. doi:10.1002/cpa.21509
apa: Kaloshin, V., Levi, M., & Saprykina, M. (2014). Arnol′d diffusion in a
pendulum lattice. Communications on Pure and Applied Mathematics. Wiley.
https://doi.org/10.1002/cpa.21509
chicago: Kaloshin, Vadim, Mark Levi, and Maria Saprykina. “Arnol′d Diffusion in
a Pendulum Lattice.” Communications on Pure and Applied Mathematics. Wiley,
2014. https://doi.org/10.1002/cpa.21509.
ieee: V. Kaloshin, M. Levi, and M. Saprykina, “Arnol′d diffusion in a pendulum lattice,”
Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley,
pp. 748–775, 2014.
ista: Kaloshin V, Levi M, Saprykina M. 2014. Arnol′d diffusion in a pendulum lattice.
Communications on Pure and Applied Mathematics. 67(5), 748–775.
mla: Kaloshin, Vadim, et al. “Arnol′d Diffusion in a Pendulum Lattice.” Communications
on Pure and Applied Mathematics, vol. 67, no. 5, Wiley, 2014, pp. 748–75,
doi:10.1002/cpa.21509.
short: V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics
67 (2014) 748–775.
date_created: 2020-09-18T10:47:01Z
date_published: 2014-05-01T00:00:00Z
date_updated: 2022-08-25T13:58:13Z
day: '01'
doi: 10.1002/cpa.21509
extern: '1'
intvolume: ' 67'
issue: '5'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
month: '05'
oa_version: None
page: 748-775
publication: Communications on Pure and Applied Mathematics
publication_identifier:
issn:
- 0010-3640
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Arnol′d diffusion in a pendulum lattice
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2014'
...