|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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