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, no. 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, no. 3, 2017, 993  crossref
  3. VADIM KALOSHIN, ALFONSO SORRENTINO, “Inverse problems and rigidity questions in billiard dynamics”, Ergod. Th. Dynam. Sys., 42, no. 3, 2022, 1023  crossref
  4. S. V. Agapov, “Rational Integrals of a Natural Mechanical System on the 2-Torus”, Sib Math J, 61, no. 2, 2020, 199  crossref
  5. Luca Asselle, Christian Lange, “On the rigidity of Zoll magnetic systems on surfaces”, Nonlinearity, 33, no. 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, no. 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, no. 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, no. 2, 2024, 263  crossref
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