3 papers
physics.plasm-ph2025
Conefield approach to identifying regions without flux surfaces for magnetic fields
David Martinez-del-Rio, Robert S. MacKay
The conefield variant of a Converse KAM method for 3D vector fields, identifying regions through which no invariant 2-tori pass transverse to a specified direction field, is tested…
physics.plasm-ph2025
Invariant tori for the pressure-jump Hamiltonian
Robert S. MacKay
A major achievement of Dewar and coworkers is the SPEC code to construct stepped-pressure equilibria in magnetohydrostatics without axisymmetry. Their existence had been proved by…
math.DS2023
Escape from a potential well under forcing and damping with application to ship capsize
Alex McSweeney-Davis, R. S. MacKay, Shibabrat Naik
Escape from a potential well occurs in a wide variety of physical systems from chemical reactions to ship capsize. In these situations escape often occurs by passage over a normall…