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math.DS2016
Homotopical Complexity of a Billiard Flow on the 3D Flat Torus with Two Cylindrical Obstacles
Caleb C. Moxley, Nandor J. Simanyi
We study the homotopical rotation vectors and the homotopical rotation sets for the billiard flow on the unit flat torus with two, disjoint and orthogonal cylindrical scatterers re…
math.DS2016
Homotopical Complexity of a 3D Billiard Flow
Caleb C. Moxley, Nandor J. Simanyi
In this paper we study the homotopical rotation vectors and the homotopical rotation sets for the billiard flow on the unit flat torus with three, mutually intersecting and mutuall…