33 citations · 97 across the 16 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.DS2017
The ponderomotive Lorentz force
Graham Cox, Mark Levi
This paper describes a curious phenomenon: a particle in a rapidly varying potential is subject to an effective magnetic-like force. This force is in addition to the well-known pon…
math.DG2017★ 3 cited
Tire tracks and integrable curve evolution
Gil Bor, Mark Levi, Ron Perline +1
We study a simple model of bicycle motion: a segment of fixed length in multi-dimensional Euclidean space, moving so that the velocity of the rear end is always aligned with the se…
math.DS2017
Stability interchanges in a curved Sitnikov problem
Luis Franco-Pérez, Marian Gidea, Mark Levi +1
We consider a curved Sitnikov problem, in which an infinitesimal particle moves on a circle under the gravitational influence of two equal masses in Keplerian motion within a plane…