3 papers
math.DS2025
Numerical tests of formulae for volume enclosed by flux surfaces of integrable magnetic fields
David Martinez-del-Rio, Robert S. MacKay
Numerical tests of volume formulae are presented to compute efficiently the volume enclosed between flux surfaces for integrable 3D vector fields with various degrees of symmetry.…
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-ph2023
Regions without flux surfaces of given class for magnetic fields in toroidal geometry
Nikos Kallinikos, Robert S. MacKay, David Martinez-del-Rio
A Converse KAM method for 3D vector fields, establishing regions through which pass no invariant 2-tori transverse to a given direction field, is tested on some helical perturbatio…