Superintegrable Bertrand magnetic geodesic flows

DOI10.1007/s10958-021-05654-2zbMath1484.70019arXiv2001.05067OpenAlexW3213805594MaRDI QIDQ2055326

S. A. Podlipaev, E. A. Kudryavtseva

Publication date: 1 December 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05067

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems

Cites Work

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• The Bertrand's manifolds with equators
• Superintegrable Bertrand natural mechanical systems
• Mechanical systems with closed orbits on manifolds of revolution
• Bertrand spacetimes
• A generalization of Bertrand's theorem to surfaces of revolution

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