Complementary Energy and Catastrophes.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The connection between complementary energy and catastrophes is indicated by a simple example, and by referring to work which shows how Legendre transformations can be continued through their singularities where the Hessian is zero. An experiment is described giving a mapping of the plane onto the plane whose stable singularities appear to be folds and angles, rather than folds and cusps. The work is directed towards the general problem of how integrands in dual variational principles can pass through their singularities.
- Numerical Mathematics