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Separation of variables in quasi-potential systems of bi-cofactor form
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
Blaszak, M., Department of Physics, A Mickiewicz University, Umultowska 85, 61-614 Poznan, Poland.
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 35, no 12, 2947-2964 p.Article in journal (Refereed) Published
Abstract [en]

We perform variable separation in the quasi-potential systems of equations of the form q¨ = -A-1?k = -à -1?k~, where A and à are Killing tensors, by embedding these systems into a bi-Hamiltonian chain and by calculating the corresponding Darboux-Nijenhuis coordinates on the symplectic leaves of one of the Hamiltonian structures of the system. We also present examples of the corresponding separation coordinates in two and three dimensions.

Place, publisher, year, edition, pages
2002. Vol. 35, no 12, 2947-2964 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47054DOI: 10.1088/0305-4470/35/12/316OAI: oai:DiVA.org:liu-47054DiVA: diva2:267950
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

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Marciniak, Krzysztof

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