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Systems of the Kowalevski type and discriminantly separable polynomials
- Source :
- Regular & Chaotic Dynamics vol 19, no.2 (2014)
- Publication Year :
- 2013
-
Abstract
- Starting from the notion of discriminantly separable polynomials of degree two in each of three variables, we construct a class of integrable dynamical systems. These systems can be integrated explicitly in genus two theta-functions in a procedure which is similar to the classical one for the Kowalevski top. The discriminnatly separable polynomials play the role of the Kowalevski fundamental equation. The natural examples include the Sokolov systems and the Jurdjevic elasticae.<br />Comment: 29 pages, 0 figures. arXiv admin note: substantial text overlap with arXiv:1106.5770
- Subjects :
- Mathematics - Dynamical Systems
37J35, 37K60 (70E17, 70E40, 39A10)
Subjects
Details
- Database :
- arXiv
- Journal :
- Regular & Chaotic Dynamics vol 19, no.2 (2014)
- Publication Type :
- Report
- Accession number :
- edsarx.1304.2568
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1134/S1560354714020026