Physics – Mathematical Physics
Scientific paper
1999-08-25
Phys.Rev.Lett. 84 (2000) 3077
Physics
Mathematical Physics
Latex (Revtex) source + 13 small postscript figures. Revised version
Scientific paper
10.1103/PhysRevLett.84.3077
Two dynamical models that have been proposed to describe transitions between low and high confinement states (L-H transitions) in confined plasmas are analysed 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 bifurcation problems and derive appropriate universal unfoldings. Questions of mutual equivalence and the character of the state transitions are addressed.
Ball Richard
Dewar Robert L.
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