kth.sePublications
Planned maintenance
A system upgrade is planned for 10/12-2024, at 12:00-13:00. During this time DiVA will be unavailable.
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, p. 748-775Article 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, p. 748-775
Keywords [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, id: diva2:721531
Funder
Swedish Research Council, VR 2006-3264
Note

QC 20140604

Available from: 2014-06-04 Created: 2014-06-02 Last updated: 2024-03-18Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Saprykina, Maria

Search in DiVA

By author/editor
Saprykina, Maria
By organisation
Mathematics (Div.)
In the same journal
Communications on Pure and Applied Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 42 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf