New examples of non-polynomial integrals of two-dimensional geodesic flows *
DOI10.1088/1751-8121/ad0fb3zbMath1530.53083OpenAlexW4388965359MaRDI QIDQ6148955
Sergey Agapov, Vladislav Shubin
Publication date: 12 January 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8121/ad0fb3
associated Legendre functionsintegrable geodesic flowgeneralized hodograph methodsemi-Hamiltonian systemnon-polynomial first integral
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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