4 papers
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…
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…
On the structure of Hamiltonian impact systems
Michal Pnueli, Vered Rom-Kedar
Near-integrability is usually associated with smooth small perturbations of smooth integrable systems. Studying integrable mechanical Hamiltonian flows with impacts that respect th…
On near integrability of some impact systems
Michal Pnueli, Vered Rom-Kedar
A class of Hamiltonian impact systems exhibiting smooth near integrable behavior is presented. The underlying unperturbed model investigated is an integrable, separable, 2 degrees…