Abstract
Following Griffiths the author presents some further methods in the Landau model, for higher order critical points. Techniques due to Arnol'd (1974) allow one to exhibit the codimension and incidence scheme of critical points in the theory for two and three order parameters. Unlike the procedures of Griffiths who analyses the global behaviour of the free energy, the results here are obtained by pasting local solutions together. That the combination of such strata is a complete description is an assumption valid in some cases.
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