| 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 |
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