Are Hamiltonian flows geodesic flows?

DOI10.1090/S0002-9947-02-03167-7zbMath1007.37039OpenAlexW1538153652MaRDI QIDQ4787461

Daniel C. Offin, Kenneth R. Meyer, Christopher K. McCord

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03167-7

zbMATH Keywords

classical mechanical systemsdouble spherical pendulaglobal orbit equivalenceplaner \(N\)-body problem

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Periodic orbits of vector fields and flows (37C27) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (4)

The integral manifolds of the \(N\) body problem ⋮ An \(n\) center problem as an example of a geodesic billiard map with singularities: Poincaré maps and dynamics ⋮ Obstructions to toric integrable geodesic flows in dimension 3 ⋮ On the topology of the double spherical pendulum

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