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Flat coordinates of flat Stackel systems
Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, Faculty of Science & Engineering.
Adam Mickiewicz University, Poland.
2015 (English)In: Applied Mathematics and Computation, ISSN 0096-3003, E-ISSN 1873-5649, Vol. 268, 706-716 p.Article in journal (Refereed) Published
Abstract [en]

In this article we explicitly construct Stackel separable systems in separation coordinates with the help of separation curve as introduced by Sklyanin. Further, we construct explicit transformation between separable and flat coordinates for flat Stackel systems. We also exploit the geometric structure of these systems in the obtained flat coordinates. These coordinates generalize the wellknown generalized elliptic and generalized parabolic coordinates introduced by Jacobi. (C) 2015 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE INC , 2015. Vol. 268, 706-716 p.
Keyword [en]
Hamiltonian systems; Completely integrable systems; Stackel systems; Hamilton-Jacobi theory; Separable potentials
National Category
Civil Engineering
URN: urn:nbn:se:liu:diva-122204DOI: 10.1016/j.amc.2015.06.099ISI: 000361769000062OAI: diva2:864517

Funding Agencies|Royal Swedish Academy of Sciences [FOA 13Magn-088]

Available from: 2015-10-26 Created: 2015-10-23 Last updated: 2015-11-18

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Marciniak, Krzysztof
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