Accession Number:

ADA064034

Title:

Complementary Energy and Catastrophes.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1978-10-01

Pagination or Media Count:

18.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE