On Legendre Transformations and Elementary Catastrophes.

Abstract

A precise equivalence is established between the multi-valued Legendre transforms of certain polynomials, and the bifurcation sets of the cuspoid catastrophes. Examples are explored in detail, including a graphical representation and a physical interpretation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA038941

Entities

People

  • M. J. Sewell

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Coefficients
  • Composite Materials
  • Computer Graphics
  • Contracts
  • Differential Equations
  • Equations
  • Mathematical Programming
  • Mathematics
  • North Carolina
  • Operations Research
  • Optimization
  • Polynomials
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis