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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