417 citations · 1.6k across the 72 of their papers we have counts for
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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…
Taylor series and twisting-index invariants of coupled spin-oscillators
Jaume Alonso, Holger R. Dullin, Sonja Hohloch
About six years ago, semitoric systems on 4-dimensional manifolds were classified by Pelayo & Vu Ngoc by means of five invariants. A standard example of such a system is the couple…
Semi-global symplectic invariants of the Euler top
George Papadopoulos, Holger R. Dullin
We compute the semi-global symplectic invariants near the hyperbolic equilibrium points of the Euler top. The Birkhoff normal form at the hyperbolic point is computed using Lie ser…