417 citations · 1.6k across the 72 of their papers we have counts for
4 papers · 1 filter
The Lagrange top and the fifth Painlevé equation
Holger R Dullin
We show that the Lagrange top with a linearly time-dependent moment of inertia is equivalent to the degenerate fifth Painlevé equation. More generally we show that the harmonic Lag…
Bounded orbits for 3 bodies in
Alain Albouy, Holger R. Dullin
We consider the Newtonian 3-body problem in dimension 4, and fix a value of the angular momentum which is compatible with this dimension. We show that the energy function cannot te…
Probabilistic description of dissipative chaotic scattering
Lachlan Burton, Holger Dullin, Eduardo G. Altmann
We investigate the extent to which the probabilistic properties of a chaotic scattering system with dissipation can be understood from the properties of the dissipation-free system…
Integrable Systems Arising from Separation of Variables on
Diana M. H. Nguyen, Sean R. Dawson, Holger R. Dullin
We show that the space of orthogonally separable coordinates on the sphere induces a natural family of integrable systems, which after symplectic reduction leads to a family…