Imperfection sensitivity laws

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter


The strength of structures undergoing bifurcation is affected by imperfections. The mechanism of such a dependence of the strength has been conventionally described by “imperfection sensitivity laws.” We follow the Liapunov–Schmidt–Koiter approach and introduce imperfection sensitivity laws for simple critical points of various kinds that are described in Chap. 2, which is a prerequisite of this chapter. This chapter lays a foundation of Chaps. 4 – 6 and is extended to a system with group symmetry in Chap. 9.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages23
Publication statusPublished - 2019 Jan 1

Publication series

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


  • Bifurcation equation
  • Critical point
  • Hilltop bifurcation
  • Imperfection
  • Imperfection sensitivity
  • Liapunov–Schmidt reduction
  • Limit point
  • Pitchfork bifurcation
  • Transcritical bifurcation
  • Two-thirds power law

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Imperfection sensitivity laws'. Together they form a unique fingerprint.

Cite this