This article is cited in 9 papers

New Examples of Systems of the Kowalevski Type

Vladimir Dragović^ab, Katarina Kukić<sup>c

a</sup> Mathematical Physics Group, University of Lisbon, Av. Prof. Gama Pinto, 2, PT-1649-003 Lisboa, Portugal
^b Mathematical Institute, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia
^c Faculty for Traffic and Transport Engineering, Vojvode Stepe 305, 11000 Belgrade, Serbia

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: integrable dynamical system, Kowalevski top, discriminantly separable polynomials, systems of the Kowalevski type, invariant measure.

MSC: 37J35, 34A34, 70E40, 70E17

Received: 16.06.2011
Accepted: 17.07.2011

Language: English

DOI: 10.1134/S1560354711050054

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