| Authors: | Dragović, Vladimir Kukić, Katarina |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | New examples of systems of the Kowalevski type | Journal: | Regular and Chaotic Dynamics | Volume: | 16 | Issue: | 5 | First page: | 484 | Last page: | 495 | Issue Date: | 1-Oct-2011 | Rank: | M22 | ISSN: | 1560-3547 | DOI: | 10.1134/S1560354711050054 | Abstract: | A new examples of integrable dynamical systems are constructed. An integration procedure leading to genus two theta-functions is presented. It is based on a recent notion of discriminantly separable polynomials. They have appeared in a recent reconsideration of the celebrated Kowalevski top, and their role here is analogue to the situation with the classical Kowalevski integration procedure. |
Keywords: | discriminantly separable polynomials | integrable dynamical system | invariant measure | Kowalevski top | systems of the Kowalevski type | Publisher: | Springer Link | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems Mathematical Physics Group of the University of Lisbon, Project Probabilistic approach to finite and infinite dimensional dynamical systems, PTDC/MAT/104173/2008 |
Show full item record
SCOPUSTM
Citations
8
checked on Apr 22, 2024
Page view(s)
36
checked on Apr 23, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.