Showing math.DSShow all
2 papers · 1 filter
math.DS2018
Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels
Sergey Agapov, Alexandr Valyuzhenich
In this paper the geodesic flow on a 2-torus in a non-zero magnetic field is considered. Suppose that this flow admits an additional first integral on different energy le…
math.DS2016
On the integrable magnetic geodesic flow on a 2-torus
S. V. Agapov
In this paper the magnetic geodesic flow on a 2-torus is considered. We study a semi-hamiltonian quasi-linear PDEs which is equivalent to the existence of polynomial in momenta fir…