21 citations to 10.3934/dcds.2011.29.81 (Crossref Cited-By Service)
  1. Maxim V Pavlov, Sergey P Tsarev, “On local description of two-dimensional geodesic flows with a polynomial first integral”, J. Phys. A: Math. Theor., 49, № 17, 2016, 175201  crossref
  2. S. V. Agapov, M. Bialy, A. E. Mironov, “Integrable Magnetic Geodesic Flows on 2-Torus: New Examples via Quasi-Linear System of PDEs”, Commun. Math. Phys., 351, № 3, 2017, 993  crossref
  3. VADIM KALOSHIN, ALFONSO SORRENTINO, “Inverse problems and rigidity questions in billiard dynamics”, Ergod. Th. Dynam. Sys., 42, № 3, 2022, 1023  crossref
  4. S. V. Agapov, “Rational Integrals of a Natural Mechanical System on the 2-Torus”, Sib Math J, 61, № 2, 2020, 199  crossref
  5. Luca Asselle, Christian Lange, “On the rigidity of Zoll magnetic systems on surfaces”, Nonlinearity, 33, № 7, 2020, 3173  crossref
  6. Misha Bialy, Andrey E Mironov, “Cubic and quartic integrals for geodesic flow on 2-torus via a system of the hydrodynamic type”, Nonlinearity, 24, № 12, 2011, 3541  crossref
  7. Sergei Agapov, Vladislav Shubin, “New examples of non-polynomial integrals of two-dimensional geodesic flows *”, J. Phys. A: Math. Theor., 57, № 1, 2024, 015204  crossref
  8. Misha Bialy, Andrey E. Mironov, “Integrable geodesic flows on 2-torus: Formal solutions and variational principle”, Journal of Geometry and Physics, 87, 2015, 39  crossref
  9. JOSCHA HENHEIK, “Deformational rigidity of integrable metrics on the torus”, Ergod. Th. Dynam. Sys., 2024, 1  crossref
  10. Sergey I. Agafonov, Thaís G. P. Alves, “Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs”, Advances in Geometry, 24, № 2, 2024, 263  crossref
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