10 citations · 30 across the 6 of their papers we have counts for
7 papers
Characterization of admissible quasisymmetries
J. W. Burby, N. Kallinikos, R. S. MacKay +2
We solve "half" the problem of finding three-dimensional quasisymmetric magnetic fields that do not necessarily satisfy force balance. This involves determining which hidden symmet…
Regions without flux surfaces of given class for magnetic fields in toroidal geometry
Nikos Kallinikos, Robert S. MacKay, David Martinez-del-Rio
A Converse KAM method for 3D vector fields, establishing regions through which pass no invariant 2-tori transverse to a given direction field, is tested on some helical perturbatio…
Isodrastic Magnetic fields for suppressing transitions in guiding-centre motion
J. W. Burby, R. S. MacKay, S. Naik
In a magnetic field, transitions between classes of guiding-centre motion can lead to cross-field diffusion and escape. We say a magnetic field is isodrastic if guiding centres mak…
Regions without invariant tori of given class for the planar circular restricted three-body problem
Nikos Kallinikos, Robert S. MacKay, Tom Syndercombe
A method to establish regions of phase space through which pass no invariant tori transverse to a given direction field is applied to the planar circular restricted three-body prob…
Approximate symmetries of guiding-centre motion
Joshua W. Burby, Nikos Kallinikos, Robert S. MacKay
Quasisymmetry builds a third invariant for charged-particle motion besides energy and magnetic moment. We address quasisymmetry at the level of approximate symmetries of first-orde…
Generalized Grad-Shafranov equation for non-axisymmetric MHD equilibria
J. W. Burby, N. Kallinikos, R. S. MacKay
The structure of static MHD equilibria that admit continuous families of Euclidean symmetries is well understood. Such field configurations are governed by the classical Grad-Shafr…
Some mathematics for quasi-symmetry
Joshua W. Burby, Nikos Kallinikos, Robert S. MacKay
Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-centre motion. Here we derive many restrictions on the possibilities for a quasi-symmetry. We a…