New Examples of Systems of the Kowalevski Type
arXiv:1109.4296 · 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.
17 pages