New Examples of Systems of the Kowalevski Type

Details New Examples of Systems of the Kowalevski Type New Examples of Systems of the Kowalevski Type

2011-09-20

arxiv.org/abs/1109.4296v1

Mathematics

Dynamical Systems

17 pages

Scientific paper

10.1134/S1560354711050054

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.

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