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Goldfish Geodesics and Hamiltonian Reduction of Matrix Dynamics
Department of Mathematics, Royal Institute of Technology, 100 44, Stockholm, Sweden .ORCID iD: 0000-0002-8727-2169
Laboratoire de MIA, 4 rue des Frères Lumière, Univ. deHaute-Alsace, 68093, Mulhouse, France .
Department of Mathematics, Royal Institute of Technology, 100 44, Stockholm, Sweden .
Department of Physics and Center for Theoretical Physics, Seoul National University, 151-747, Seoul, South Korea .
2008 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 84, 89-98 p.Article in journal (Refereed) Published
Abstract [en]

We describe the Hamiltonian reduction of a time-dependent real-symmetric N×N matrix system to free vector dynamics, and also provide a geodesic interpretation of Ruijsenaars–Schneider systems. The simplest of the latter, the goldfish equation, is found to represent a flat-space geodesic in curvilinear coordinates.

Place, publisher, year, edition, pages
Springer, 2008. Vol. 84, 89-98 p.
Keyword [en]
Goldfish model – Ruijsennaars–Schneider system – Integrable systems
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-122358DOI: 10.1007/s11005-008-0232-0OAI: oai:DiVA.org:liu-122358DiVA: diva2:865817
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-11-09

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Arnlind, Joakim
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