Український математичний конгрес - 2009

Andrey Y Moskvin (Lomonosov Moscow State University, Russia)

Liouville foliations in Dullin-Matveev integrable case

The topology of the Liouville foliation of the Dullin-Matveev integrable system is considered. The system has two degree of freedom and takes place on a cotangent bundle to S2. In particular, bifurcation diagram of the momenta map, stability of critical circles investigated. Fomenko-Zieshang molecules are found.