Physics – Plasma Physics
Scientific paper
2002-06-21
Physical Review E 66, 066408-1--066408-9, 2002
Physics
Plasma Physics
17 pages, revtex text, 9 figures comprised of 16 postscript files. Submitted to Phys. Rev. E
Scientific paper
10.1103/PhysRevE.66.066408
The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses. A close relationship is demonstrated between the underlying bifurcation framework of the model and typical behavior associated with low- to high-confinement transitions such as shear flow stabilization of turbulence and oscillatory collective action. In particular, the analysis evinces two types of discontinuous transition that are qualitatively distinct. One involves classical hysteresis, governed by viscous dissipation. The other is intrinsically oscillatory and non-hysteretic, and thus provides a model for the so-called dithering transitions that are frequently observed. This metamorphosis, or transformation, of the system dynamics is an important late side-effect of symmetry-breaking, which manifests as an unusual non-symmetric transcritical bifurcation induced by a significant shear flow drive.
Ball Richard
Dewar Robert L.
Sugama Hideo
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