Bulletin of the American Physical Society
65th Annual Meeting of the APS Division of Plasma Physics
Monday–Friday, October 30–November 3 2023; Denver, Colorado
Session PP11: Poster Session VI:
MFE:DIII-D and conventional tokamaks II;MHD and stability; Analytic techniques in MFE;
ICF: Pinches and hohlraum physics
SPACE: Astrophysical plasmas
LTP:Low temperature plasma applications
MC:Miniconference: Shocks
2:00 PM - 5:00 PM
Wednesday, November 1, 2023
Room: Plaza ABC
Abstract: PP11.00073 : Finding Magnetic Surfaces via a Single Trajectory*
Presenter:
Max Ruth
(Cornell University)
Authors:
Max Ruth
(Cornell University)
David S Bindel
(Cornell University)
In this poster, we will show how a technique from sequence extrapolation, the reduced rank extrapolation method (RRE), can also be used to classify trajectories with a single linear least-squares solve. For the islands and invariant circles, a subsequent eigenvalue problem gives the number of islands, the rotation number, and the Fourier coefficients of the trajectory. We will show examples of this method on the standard map and a candidate stellarator configuration.
*This work was supported by a grant from the Simons Foundation (No. 560651, D B) and by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-1650441
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