Overview of book

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter


We offer, in this first chapter, an overview of this book. The book untangles the mechanism of perfect and imperfect bifurcations based on up-to-date mathematics placing more emphasis on engineering pragmatism than on mathematical rigor. First, fundamental issues of a static problem are advanced. Next, an overview of theoretical tools and concepts is presented. Last, the bifurcation of symmetric systems is overviewed using a series of illustrative examples and photographs of materials and structures, such as soil, sand, kaolin, steel, and honeycomb structure.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages32
Publication statusPublished - 2019 Jan 1

Publication series

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


  • Bifurcation
  • Block-diagonalization
  • Echelon mode
  • Flower pattern
  • Group
  • Group-theoretic bifurcation theory
  • Honeycomb structure
  • Imperfection
  • Materials
  • Random imperfection
  • Recursive bifurcation
  • Sand
  • Soil
  • Structures
  • Symmetry
  • Worst imperfection

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Overview of book'. Together they form a unique fingerprint.

Cite this