Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations
Abstract
A class of topological magnetic island bifurcations that has not previously been observed in toroidal plasmas is described. Increasing an externally applied three-dimensional magnetic field in resistive magnetohydrodynamic simulations results in the asymmetric elongation of resonant island flux surfaces followed by a sequence of heteroclinic bifurcations. Here, these bifurcations produce new sets of hyperbolic-elliptic fixed points as predicted by the Poincaré-Birkoff fixed point theorem. Field line calculations verify that the new fixed points do not connect to those of the prebifurcated islands as required for heteroclinic bifurcations on a torus with winding numbers composed of common integer factors.
- Authors:
-
[1];
[3]
- General Atomics, San Diego, CA (United States)
- Sao Paulo Univ. (Brazil)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States); DIII-D National Fusion Facility, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; Coordination for the Improvement of Higher Education Personnel (CAPES)
- OSTI Identifier:
- 1764376
- Alternate Identifier(s):
- OSTI ID: 1781087
- Grant/Contract Number:
- FC02-04ER54698; SC0012706; SC0018030; SC0020298; SC0019078; AC02-09CH11466
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 1; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Bifurcations; Magnetic reconnection; Magnetohydrodynamics; Plasma fusion; Self-organized systems; Tearing instability; Magnetically confined plasmas; Magnetohydrodynamic techniques; Reduced magnetohydrodynamics; Two-fluid & multi-fluid model
Citation Formats
Evans, T. E., Wu, W., Canal, G. P., and Ferraro, N. M. Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations. United States: N. p., 2021.
Web. doi:10.1103/physreve.103.013209.
Evans, T. E., Wu, W., Canal, G. P., & Ferraro, N. M. Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations. United States. https://doi.org/10.1103/physreve.103.013209
Evans, T. E., Wu, W., Canal, G. P., and Ferraro, N. M. Tue .
"Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations". United States. https://doi.org/10.1103/physreve.103.013209. https://www.osti.gov/servlets/purl/1764376.
@article{osti_1764376,
title = {Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations},
author = {Evans, T. E. and Wu, W. and Canal, G. P. and Ferraro, N. M.},
abstractNote = {A class of topological magnetic island bifurcations that has not previously been observed in toroidal plasmas is described. Increasing an externally applied three-dimensional magnetic field in resistive magnetohydrodynamic simulations results in the asymmetric elongation of resonant island flux surfaces followed by a sequence of heteroclinic bifurcations. Here, these bifurcations produce new sets of hyperbolic-elliptic fixed points as predicted by the Poincaré-Birkoff fixed point theorem. Field line calculations verify that the new fixed points do not connect to those of the prebifurcated islands as required for heteroclinic bifurcations on a torus with winding numbers composed of common integer factors.},
doi = {10.1103/physreve.103.013209},
journal = {Physical Review E},
number = 1,
volume = 103,
place = {United States},
year = {Tue Jan 19 00:00:00 EST 2021},
month = {Tue Jan 19 00:00:00 EST 2021}
}
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