Random Imperfection (II)

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter


It was clarified in Chapter 5, for simple critical points, that the probabilistic properties of critical loads can be formulated in an asymptotic sense (when imperfections are small). In this chapter, this formulation is extended to a Dn-equivariant system that potentially has simple and double bifurcation points. For a simple critical point of a Dn-equivariant system, which is either a limit point or a pitchfork bifurcation point (cf., §8.3.1), the relevant results presented in Chapter 5are applicable.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages16
Publication statusPublished - 2010

Publication series

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


  • Bifurcation Point
  • Critical Load
  • Multivariate Normal Distribution
  • Probability Density Function
  • Reliability Function

ASJC Scopus subject areas

  • Applied Mathematics


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