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Arnol ' d Diffusion in a Pendulum Lattice
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
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
Abstract [en]

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.
Keyword [en]
Hamiltonian-Systems, Unbounded Energy, Localization, Growth, Kink
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-145808DOI: 10.1002/cpa.21509ISI: 000332144200002Scopus ID: 2-s2.0-84895096830OAI: oai:DiVA.org:kth-145808DiVA: diva2:721531
Funder
Swedish Research Council, VR 2006-3264
Note

QC 20140604

Available from: 2014-06-04 Created: 2014-06-02 Last updated: 2017-12-05Bibliographically approved

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