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JOURNALS // Sibirskii Matematicheskii Zhurnal

Sibirsk. Mat. Zh., 2021, Volume 62, Number 4, Pages 715–720 (Mi smj7589)

Some remarks on high degree polynomial integrals of the magnetic geodesic flow on the two-dimensional torus
S. V. Agapov, A. A. Valyuzhenich, V. V. Shubin

References

1. Agapov S., Valyuzhenich A., “Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels”, Disc. Cont. Dynam. Systems. Ser. A, 39:11 (2019), 6565–6583  crossref  mathscinet  zmath
2. Taimanov I. A., “O pervykh integralakh geodezicheskikh potokov na dvumernom tore”, Tr. MIAN, 295, 2016, 241–260  mathnet  zmath
3. Kolokoltsov V. N., “Geodezicheskie potoki na dvumernykh mnogoobraziyakh s dopolnitelnym polinomialnym po skorostyam pervym integralom”, Izv. AN SSSR. Ser. mat., 46:5 (1982), 994–1010  mathnet  mathscinet  zmath
4. Agapov S. V., “O pervykh integralakh dvumernykh geodezicheskikh potokov”, Sib. mat. zhurn., 61:4 (2020), 721–734  mathnet  mathscinet  zmath
5. Dorizzi B., Grammaticos B., Ramani A., Winternitz P., “Integrable Hamiltonian systems with velocity–dependent potentials”, J. Math. Phys., 26:12 (1985), 3070–3079  crossref  mathscinet  zmath  adsnasa
6. Agapov S. V., Bialy M., Mironov A. E., “Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs”, Comm. Math. Phys., 351:3 (2017), 993–1007  crossref  mathscinet  zmath  adsnasa  elib
7. Naqvi S.A.B., Integrability of magnetic geodesic flows, Master of Science Thesis, The University of Manitoba, Winnipeg, 2020


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