3 citations · 8 across the 11 of their papers we have counts for
13 papers
Outer Contact Billiards
Ana Chavez Caliz, Connor Jackman
We introduce outer contact billiards as an odd dimensional counterpart to outer symplectic billiards. Until now, outer billiards have only been considered in even dimensional sympl…
Bi-contact structures with symmetry: local normal forms
Connor Jackman
A pair of transverse contact distributions on a 3-manifold will in general admit no 1-parameter families of symmetries: a flow preserving both contact distributions. Here, we will…
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…
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…
Variations on the Tait-Kneser theorem
Gil Bor, Connor Jackman, Serge Tabachnikov
The Tait-Kneser theorem, first demonstrated by Peter G. Tait in 1896, states that the osculating circles along a plane curve with monotone non-vanishing curvature are pairwise disj…
Revisiting Kepler: new symmetries of an old problem
Gil Bor, Connor Jackman
The form a 3-parameter family of plane curves, consisting of all conics sharing a focus at a fixed point. We study the geometry and symmetry prop…