--- _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' ...