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math.DG2022★ 1 cited
Bicycling geodesics are Kirchhoff rods
Gil Bor, Connor Jackman, Serge Tabachnikov
A bicycle path is a pair of trajectories in , the `front' and `back' tracks, traced out by the endpoints of a moving line segment of fixed length (the `bicycle frame…
math-ph2022
Scaling Symmetries, Contact Reduction and Poincaré's dream
Alessandro Bravetti, Connor Jackman, David Sloan
A symplectic Hamiltonian system admitting a scaling symmetry can be reduced to an equivalent contact Hamiltonian system in which some physically-irrelevant degree of freedom has be…