Photo from wikipedia
We study the magnetic geodesic flow on the two-dimensional torus which admits an additional high degree first integral polynomial in momenta and is independent of the energy integral. In an earlier work by… Click to show full abstract
We study the magnetic geodesic flow on the two-dimensional torus which admits an additional high degree first integral polynomial in momenta and is independent of the energy integral. In an earlier work by the first two authors, it was announced that if such integral is preserved at a sufficiently many different energy levels then there necessarily exists a linear integral at all energy levels. The proof of the announce was incomplete. Here we finish the proof of the above assertion.
Keywords:
magnetic geodesic;
geodesic flow;
high degree;
two dimensional;
flow two;
dimensional torus
Journal Title: Siberian Mathematical Journal
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Siberian Mathematical Journal
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!