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Flat coordinates of flat Stäckel systems
Authors:
- Krzysztof Marciniak,
- Maciej Błaszak
Abstract
In this article we explicitly construct Stäckel 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 Stäckel 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.
- Record ID
- UAM33d360be7d974039a877ab7b50f7e144
- Author
- Journal series
- Applied Mathematics and Computation, ISSN 0096-3003
- Issue year
- 2015
- Vol
- 268
- Pages
- 706-716
- ASJC Classification
- ;
- DOI
- DOI:10.1016/j.amc.2015.06.099 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 40
- Score source
- journalList
- Score
- Publication indicators
- = 3; = 3; : 2015 = 1.239; : 2015 (2 years) = 1.345 - 2015 (5 years) =1.436
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM33d360be7d974039a877ab7b50f7e144/
- URN
urn:amu-prod:UAM33d360be7d974039a877ab7b50f7e144
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.