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
        }
}
  • BallDewar
  • Published 25 August 1999
  • Mathematics
  • Physical review letters
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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