# Singularity theory study of overdetermination in models for L-H transitions

@article{Ball1999SingularityTS, title={Singularity theory study of overdetermination in models for L-H transitions}, author={Ball and Dewar}, journal={Physical review letters}, year={1999}, volume={84 14}, pages={ 3077-80 } }

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…

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