417 citations · 1.6k across the 72 of their papers we have counts for
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math-ph2008★ 20 cited
Non-uniqueness of phase shift in central scattering due to monodromy
Holger R. Dullin, Holger Waalkens
Scattering at a central potential is completely characterized by the phase shifts which are the differences in phase between outgoing scattered and unscattered partial waves. In th…
nlin.CD2008★ 32 cited
Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations
Holger R. Dullin, James D. Meiss
We study the dynamics of the five-parameter quadratic family of volume-preserving diffeomorphisms of R^3. This family is the unfolded normal form for a bifurcation of a fixed point…
nlin.CD2008
A Poincaré section for the general heavy rigid body
Sven Schmidt, Holger R. Dullin, Peter H. Richter
A general recipe is developed for the study of rigid body dynamics in terms of Poincaré surfaces of section. A section condition is chosen which captures every trajectory on a give…