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Singularity Theory Study of Overdetermination in Models for L-H Transitions

Ball, Rowena; Dewar, Robert


Two dynamical models that have been proposed to describe transitions between low- and high-confinement states in confined plasmas are analyzed using singularity theory and stability theory. It is shown that the stationary-state bifurcation sets have qualitative properties identical to standard normal forms for the pitchfork and transcritical bifurcations. The analysis yields the codimension of the highest-order singularities, from which we find that the unperturbed systems are overdetermined...[Show more]

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Physical Review Letters


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