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math.DS2021
Near tangent dynamics in a class of Hamiltonian impact systems
M. Pnueli, V. Rom-Kedar
Tangencies correspond to singularities of impact systems, separating between impacting and non-impacting trajectory segments. The closure of their orbits constitute the singularity…
math.DS2020
Impact Hamiltonian systems and polygonal billiards
L. Becker, S. Elliott, B. Firester +3
The dynamics of a beam held on a horizontal frame by springs and bouncing off a step is described by a separable two degrees of freedom Hamiltonian system with impacts that respect…