Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations

Evans, T. E.; Wu, W.; Canal, G. P.; Ferraro, N. M.

doi:10.1103/physreve.103.013209

Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations

Journal Article · Tue Jan 19 00:00:00 EST 2021 · Physical Review E

DOI:https://doi.org/10.1103/physreve.103.013209· OSTI ID:1764376

^[1]; Wu, W. ^[2]; Canal, G. P. ^[3]; ^[4]

General Atomics, San Diego, CA (United States); General Atomics, Energy & Advanced Concepts, DIII-D
General Atomics, San Diego, CA (United States)
Sao Paulo Univ. (Brazil)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: DIII-D National Fusion Facility, San Diego, CA (United States); General Atomics, San Diego, CA (United States)

Sponsoring Organization:: Coordination for the Improvement of Higher Education Personnel (CAPES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: AC02-09CH11466; FC02-04ER54698; SC0012706; SC0018030; SC0019078; SC0020298

OSTI ID:: 1764376

Alternate ID(s):: OSTI ID: 1781087

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 1 Vol. 103; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Observations of heteroclinic bifurcations in resistive magnetohydrodynamic simulations of the plasma response to resonant magnetic perturbations

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