60 citations · 79 across the 7 of their papers we have counts for
11 papers
A characterization of the symmetry groups of mono-monostatic convex bodies
G. Domokos, Z. Lángi, P. Várkonyi
Answering a question of Conway and Guy in a 1968 paper, Lángi in 2021 proved the existence of a monostable polyhedron with -fold rotational symmetry for any , and arbi…
Experimental Verification of Stability Theory for a Planar Rigid Body with Two Unilateral Frictional Contacts
Yizhar Or, Peter L. Varkonyi
Stability of equilibrium states in mechanical systems with multiple unilateral frictional contacts is an important practical requirement, with high relevance for robotic applicatio…
Transitions and singularities during slip motion of rigid bodies
Peter L. Varkonyi
The dynamics of moving solids with unilateral contacts are often modeled by assuming rigidity, point contacts, and Coulomb friction due to the simplicity of these models. The canon…
Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity
Arne Nordmark, Peter Varkonyi, Alan Champneys
This paper analyses in detail the dynamics in a neighbourhood of a Génot-Brogliato point, colloquially termed the G-spot, which physically represents so-called dynamic jam in rigid…
Imperfections, impacts, and the singularity of Euler's disk
Tamás Baranyai, Péter L. Várkonyi
The motion of a rigid, spinning disk on a flat surface ends with a dissipation-induced finite-time singularity. The problem of finding the dominant energy absorption mechanism duri…
Zeno chattering of rigid bodies with multiple point contacts
Tamás Baranyai, Péter L. Várkonyi
Ideally rigid objects establish sustained contact with one another via complete chatter (a.k.a. Zeno behavior), i.e. an infinite sequence of collisions accumulating in finite time.…