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Your search keyword '"Agapov, Sergey"' showing total 1 results
Start Over Author "Agapov, Sergey" Topic mathematics - combinatorics
1 results on '"Agapov, Sergey"'

1. Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels

Author

Agapov, Sergey and Valyuzhenich, Alexandr

Subjects
Mathematics - Dynamical Systems, Mathematics - Combinatorics
Abstract

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 $F$ on $N+2$ different energy levels which is polynomial in momenta of arbitrary degree $N$ with analytic periodic coefficients. It is proved that in this case the magnetic field and metrics are functions of one variable and there exists a linear in momenta first integral on all energy levels.

Published
2018

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