A Theory for Imperfect Bifurcation via Singularity Theory.

Abstract

This paper applies the theory of singularities of differentiable mappings - specifically the unfolding theorem - to study the effect of imperfections in a system subject to bifurcation. In a number of special cases we have classified (up to a suitable equivalence) all the possible perturbations of the bifurcation equations by a finite number of imperfection parameters. These cases include both bifurcation from a double eigenvalue and from a simple eigenvalue degenerate in the sense of Crandall-Rabinowitz.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA060619

Entities

People

  • D. Schaeffer
  • M. Golubitsky

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Buckling
  • Chemical Reactions
  • Cis
  • Eigenvalues
  • Equations
  • Mathematics
  • Military Research
  • North Carolina
  • Operating Systems
  • Perturbations
  • Plastic Explosives
  • Two Dimensional
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis