Year: 2025
Type: article
Abstract: 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 on some helical perturbations of an axisymmetric magnetic field in toroidal geometry. This implementation computes the bounds on the slopes of invariant tori of a given class and allows us to apply a subsidiary criterion to extend the non-existence region, saving significant computation time. The method finds regions corresponding to magnetic islands and chaos for the fieldline flow.
Authors: D Martínez-del-Río, R S MacKay
Institution: University of Warwick
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
Funder: Simons Foundation
Awards: G3834572493, G7931152717
OpenAlex ID: W4408888490
