23 citations · 36 across the 11 of their papers we have counts for
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math.DS2024
Closed orbits of MHD equilibria with orientation-reversing symmetry
David Perrella
As a generalisation of the periodic orbit structure often seen in reflection or mirror symmetric MHD equilibria, we consider equilibria with other orientation-reversing symmetries.…
math-ph2024
Global realisation of magnetic fields as 1D Hamiltonian systems
Nathan Duignan, David Perrella, David Pfefferlé
The paper reviews the notion of D non-autonomous Hamiltonian systems, portraying their dynamics as the flow of the Reeb field related to a closed two-form of maximal…
physics.plasm-ph2024
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…