417 citations · 1.6k across the 72 of their papers we have counts for
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nlin.CD2001★ 33 cited
Generalizations of the Störmer Problem for Dust Grain Orbits
H. R. Dullin, M. Horányi, J. E. Howard
We consider the generalized Störmer Problem that includes the electromagnetic and gravitational forces on a charged dust grain near a planet. For dust grains a typical charge to ma…
nlin.CD2001★ 417 cited
An Integrable Shallow Water Equation with Linear and Nonlinear Dispersion
Holger R. Dullin, Georg Gottwald, Darryl D. Holm
We study a class of 1+1 quadratically nonlinear water wave equations that combines the linear dispersion of the Korteweg-deVries (KdV) equation with the nonlinear/nonlocal dispersi…
nlin.CD2001★ 25 cited
About ergodicity in the family of limacon billiards
Holger R. Dullin, Arnd Bäcker
By continuation from the hyperbolic limit of the cardioid billiard we show that there is an abundance of bifurcations in the family of limacon billiards. The statistics of these bi…