Magnetic Katok examples on the two-sphere

DOI10.1112/blms/bdw050zbMath1370.37107arXiv1507.05341OpenAlexW3101272254MaRDI QIDQ2830658

Gabriele Benedetti

Publication date: 28 October 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05341

zbMATH Keywords

symplectic mapmagnetic flow

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items

On an integrable magnetic geodesic flow on the two-torus ⋮ Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities ⋮ On the periodic motions of a charged particle in an oscillating magnetic field on the two-torus ⋮ Non-resonant circles for strong magnetic fields on surfaces ⋮ On the rigidity of Zoll magnetic systems on surfaces ⋮ Reeb dynamics inspired by Katok's example in Finsler geometry ⋮ Invariance of symplectic cohomology and twisted cotangent bundles over surfaces ⋮ The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere ⋮ The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

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