Numerical analysis of symmetric systems

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Numerical analysis procedures for bifurcation behaviors of symmetric systems with dihedral group symmetry are presented. The branch switching at simple bifurcation points presented in Chap. 2 is extended to double bifurcation points of these systems. In the bifurcation analysis of the systems, rules of bifurcation in Chap. 9 are utilized. As useful numerical procedures for such systems, a revised scaled-corrector method and a block-diagonalization method are advanced. Chapters 7, 8, 9, and 13 lay foundations of this chapter.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages335-360
Number of pages26
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume149
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Block-diagonalization
  • Cyclic group
  • Dihedral group
  • Double bifurcation point
  • Recursive bifurcation
  • Scaled-corrector method
  • Truss dome

ASJC Scopus subject areas

  • Applied Mathematics

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