Physics – Plasma Physics
Scientific paper
2004-10-20
Physics
Plasma Physics
21 pages, 12 figures, 34 postscript figure files
Scientific paper
A case study in bifurcation and stability analysis is presented, in which reduced dynamical system modelling yields substantial new global and predictive information about the behaviour of a complex system. The first smooth pathway, free of pathological and persistent degenerate singularities, is surveyed through the parameter space of a nonlinear dynamical model for a gradient-driven, turbulence-shear flow energetics in magnetized fusion plasmas. Along the route various obstacles and features are identified and treated appropriately. An organizing centre of low codimension is shown to be robust, several trapped singularities are found and released, and domains of hysteresis, threefold stable equilibria, and limit cycles are mapped. Characterization of this rich dynamical landscape achieves unification of previous disparate models for plasma confinement transitions, supplies valuable intelligence on the big issue of shear flow suppression of turbulence, and suggests targeted experimental design, control and optimization strategies.
No associations
LandOfFree
The case of the trapped singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The case of the trapped singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The case of the trapped singularities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-537574