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- W2214956872 abstract "We completely integrate the magnetic geodesic flow on a flat two-torus with the magnetic field $F = cos (x) dx wedge dy$ and describe all contractible periodic magnetic geodesics. It is shown that there are no such geodesics for energy $E geq 1/2$, for $E< 1/2$ simple periodic magnetic geodesics form two $S^1$-families for which the (fixed energy) action functional is positive and therefore there are no periodic magnetic geodesics for which the action functional is negative." @default.
- W2214956872 created "2016-06-24" @default.
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- W2214956872 date "2015-08-15" @default.
- W2214956872 modified "2023-10-04" @default.
- W2214956872 title "On an integrable magnetic geodesic flow on the two-torus" @default.
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- W2214956872 doi "https://doi.org/10.48550/arxiv.1508.03745" @default.
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