Marie-Claude Arnaud, Jessica Elisa Massetti, Alfonso Sorrentino, “On the fragility of periodic tori for families of symplectic twist maps”, Advances in Mathematics, 429, 2023, 109175
S. V. Agapov, “On First Integrals of Two-Dimensional Geodesic Flows”, Sib Math J, 61, № 4, 2020, 563
Andreas Vollmer, “Reducibility of valence-3 Killing tensors in Weyl’s class of stationary and axially symmetric spacetimes”, Phys. Rev. D, 92, № 8, 2015, 084036
Sergei Agapov, Vladislav Shubin, “New examples of non-polynomial integrals of two-dimensional geodesic flows *”, J. Phys. A: Math. Theor., 57, № 1, 2024, 015204
Misha Bialy, Andrey E. Mironov, “Integrable geodesic flows on 2-torus: Formal solutions and variational principle”, Journal of Geometry and Physics, 87, 2015, 39
VADIM KALOSHIN, ALFONSO SORRENTINO, “Inverse problems and rigidity questions in billiard dynamics”, Ergod. Th. Dynam. Sys., 42, № 3, 2022, 1023
Leo T. Butler, Lagrangian Mechanics, 2017
S. V. Agapov, “Rational Integrals of a Natural Mechanical System on the 2-Torus”, Sib Math J, 61, № 2, 2020, 199
Misha Bialy, Andrey E. Mironov, “From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity”, Journal of Differential Equations, 255, № 10, 2013, 3434
S. V. Agapov, Zh. Sh. Fakhriddinov, “On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus”, Sib Math J, 64, № 5, 2023, 1063