82 citations · 876 across the 71 of their papers we have counts for
6 papers · 1 filter
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…
Fast neural Poincaré maps for toroidal magnetic fields
J. W. Burby, Q. Tang, R. Maulik
Poincaré maps for toroidal magnetic fields are routinely employed to study gross confinement properties in devices built to contain hot plasmas. In most practical applications, eva…
Slow manifold reduction for plasma science
J. W. Burby, T. J. Klotz
The classical Chapman-Enskog procedure admits a substantial geometrical generalization known as slow manifold reduction. This generalization provides a paradigm for deriving and un…
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…
General formulas for adiabatic invariants in nearly-periodic Hamiltonian systems
J. W. Burby, J. Squire
While it is well-known that every nearly-periodic Hamiltonian system possesses an adiabatic invariant, extant methods for computing terms in the adiabatic invariant series are inef…
Time-dependent relaxed magnetohydrodynamics -- inclusion of cross helicity constraint using phase-space action
R. L. Dewar, J. W. Burby, Z. Qu +2
A new formulation of time-dependent Relaxed Magnetohydrodynamics (RxMHD) is derived variationally from Hamilton's Action Principle using microscopic conservation of mass, and macro…