TY - JOUR
T1 - Bifurcation theory for the L-H transition in magnetically confined fusion plasmas
JF - Physics of Plasmas
Y1 - 2012
A1 - Weymiens, W.
A1 - de Blank, H. J.
A1 - Hogeweij, G. M. D.
A1 - de Valenca, J. C.
KW - FIELD
KW - MODE
KW - SHEAR
KW - TOKAMAK
KW - TRANSPORT
KW - TURBULENCE
KW - ZONAL FLOWS
AB - The mathematical field of bifurcation theory is extended to be applicable to 1-dimensionally resolved systems of nonlinear partial differential equations, aimed at the determination of a certain specific bifurcation. This extension is needed to be able to properly analyze the bifurcations of the radial transport in magnetically confined fusion plasmas. This is of special interest when describing the transition from the low-energy-confinement state to the high-energy-confinement state of the radial transport in fusion plasmas (i.e., the L-H transition), because the nonlinear dynamical behavior during the transition corresponds to the dynamical behavior of a system containing such a specific bifurcation. This bifurcation determines how the three types (sharp, smooth, and oscillating) of observed L-H transitions are organized as function of all the parameters contained in the model. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4739227]
VL - 19
SN - 1070-664X
IS - 7
U1 - FP
U2 - CPP-HT
U5 - cb4cd468aed34ad24099a3e0b0eee7c1
ER -