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dg-ga1997
New families of conservative systems on possessing an integral of fourth degree in momenta
Elena N. Selivanova
There is a well-known example of integrable conservative system on , the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momen…
dg-ga1997
New examples of conservative systems on S^2 possessing an integral cubic in momenta
Elena N. Selivanova
It has been proved that on 2-dimensional orientable compact manifolds of genus there is no integrable geodesic flow with an integral polynomial in momenta. There is a conject…