27 citations · 113 across the 6 of their papers we have counts for
18 papers
Normal stability of slow manifolds in nearly-periodic Hamiltonian systems
J. W. Burby, E. Hirvijoki
M. Kruskal showed that each nearly-periodic dynamical system admits a formal symmetry, generated by the so-called roto-rate. We prove that such systems also admit nearly-inv…
Hamiltonian reduction of Vlasov-Maxwell to a dark slow manifold
George Miloshevich, Joshua W. Burby
We show that nonrelativsitic scaling of the collisionless Vlasov-Maxwell system implies the existence of a formal invariant slow manifold in the infinite-dimensional Vlasov-Maxwell…
Improved accuracy in degenerate variational integrators for guiding center and magnetic field line flow
J. W. Burby, J. M. Finn, C. L. Ellison
First-order accurate degenerate variational integration (DVI) was introduced in C. L. Ellison et. al, Phys. Plasmas 25, 052502 (2018) for systems with a degenerate Lagrangian, i.e.…
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…