--- res: bibo_abstract: - 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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Vadim foaf_name: Kaloshin, Vadim foaf_surname: Kaloshin foaf_workInfoHomepage: http://www.librecat.org/personId=FE553552-CDE8-11E9-B324-C0EBE5697425 orcid: 0000-0002-6051-2628 - foaf_Person: foaf_givenName: Mark foaf_name: Levi, Mark foaf_surname: Levi - foaf_Person: foaf_givenName: Maria foaf_name: Saprykina, Maria foaf_surname: Saprykina bibo_doi: 10.1002/cpa.21509 bibo_issue: '5' bibo_volume: 67 dct_date: 2014^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/0010-3640 dct_language: eng dct_publisher: Wiley@ dct_subject: - Applied Mathematics - General Mathematics dct_title: Arnol′d diffusion in a pendulum lattice@ ...