New Examples of Systems of the Kowalevski Type

作者：Dragovic Vladimir^*; Kukic Katarina

来源：Regular & Chaotic Dynamics, 2011, 16(5): 484-495.

DOI：10.1134/S1560354711050054

• integrable dynamical system
• Kowalevski top
• discriminantly separable polynomials
• systems of the Kowalevski type
• invariant measure

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.

• 出版日期2011-10