A direct method for the characterization and computation of bifurcation points with corank 2

  • Basem S. Attili*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We will consider an extension of a direct method due to Griewank and Reddien for the characterization and computation of double singular points with corank 2. Singular points which satisfy certain type of symmetry will also be considered. The method used will produce an extended system which does not introduce the null vectors as variables, but gives a good idea bout them. Several numerical examples are presented to demonstrate that the method is efficient.

Original languageEnglish
Pages (from-to)149-159
Number of pages11
JournalComputing (Vienna/New York)
Volume48
Issue number2
DOIs
StatePublished - Jun 1992

Keywords

  • AMS Subject Classifications: Primary 65H, Secondary 47E
  • Bifurcation point
  • Gauss-Newton method
  • augmented system
  • symmetry breaking

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computational Mathematics

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