82 citations · 876 across the 71 of their papers we have counts for
6 papers · 1 filter
Nearly-periodic maps and geometric integration of noncanonical Hamiltonian systems
J. W. Burby, E. Hirvijoki, M. Leok
M. Kruskal showed that each continuous-time nearly-periodic dynamical system admits a formal symmetry, generated by the so-called roto-rate. When the nearly-periodic system…
High-Precision Inversion of Dynamic Radiography Using Hydrodynamic Features
Maliha Hossain, Balasubramanya T. Nadiga, Oleg Korobkin +7
Radiography is often used to probe complex, evolving density fields in dynamic systems and in so doing gain insight into the underlying physics. This technique has been used in num…
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.…
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…