417 citations · 1.6k across the 72 of their papers we have counts for
3 papers · 2 filters
The Diver with a Rotor
Sudarsh Bharadwaj, Nathan Duignan, Holger R. Dullin +2
We present and analyse a simple model for the twisting somersault. The model is a rigid body with a rotor attached which can be switched on and off. This makes it simple enough to…
Syzygies in the two center problem
Holger R. Dullin, Richard Montgomery
We give a complete symbolic dynamics description of the dynamics of Euler's problem of two fixed centers. By analogy with the 3-body problem we use the collinearities (or syzygies)…
Instability of Equilibria for the 2D Euler Equations on the torus
Joachim Worthington, Holger R. Dullin, Robert Marangell
We consider the hydrodynamics of an incompressible fluid on a 2D periodic domain. There exists a family of stationary solutions with vorticity given by $Ω^*=α\cos (\mathbf{p} \cdot…