Arnol ' d Diffusion in a Pendulum Lattice
2014 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 67, no 5, 748-775 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2014. Vol. 67, no 5, 748-775 p.
Hamiltonian-Systems, Unbounded Energy, Localization, Growth, Kink
IdentifiersURN: urn:nbn:se:kth:diva-145808DOI: 10.1002/cpa.21509ISI: 000332144200002ScopusID: 2-s2.0-84895096830OAI: oai:DiVA.org:kth-145808DiVA: diva2:721531
FunderSwedish Research Council, VR 2006-3264
QC 201406042014-06-042014-06-022014-06-04Bibliographically approved