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New Examples of Systems of the Kowalevski Type

Dynamical Systems 2015-05-14 v1 Mathematical Physics math.MP

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

Cite

@article{arxiv.1109.4296,
  title  = {New Examples of Systems of the Kowalevski Type},
  author = {Vladimir Dragović and Katarina Kukić},
  journal= {arXiv preprint arXiv:1109.4296},
  year   = {2015}
}

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17 pages