18 citations · 80 across the 17 of their papers we have counts for
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math-ph2021★ 6 cited
Normal Forms and Near-Axis Expansions for Beltrami Magnetic Fields
Nathan Duignan, James D. Meiss
A formal series transformation to Birkhoff-Gustavson normal form is obtained for toroidal magnetic field configurations in the neighborhood of a magnetic axis. Bishop's rotation-mi…
math.DS2021★ 5 cited
On the -Regularisation of Simultaneous Binary Collisions in the Planar 4-Body Problem
Nathan Duignan, Holger R. Dullin
The dynamics of the 4-body problem allows for two binary collisions to occur simultaneously. It is known that in the collinear 4-body problem this simultaneous binary collision (SB…
math-ph2021★ 1 cited
Integrability, Normal Forms, and Magnetic Axis Coordinates
Joshua W. Burby, Nathan Duignan, James D. Meiss
Integrable or near-integrable magnetic fields are prominent in the design of plasma confinement devices. Such a field is characterized by the existence of a singular foliation cons…