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Mathematics  2011 

New Examples of Systems of the Kowalevski Type

DOI: 10.1134/S1560354711050054

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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.

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