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Introduction to Bifurcation Behavior

  • Kiyohiro Ikeda
  • Kazuo Murota
Part of the Applied Mathematical Sciences book series (AMS, volume 149)

Abstract

In this book, we study a static bifurcation problem expressed by a nonlinear governing (equilibrium) equation of the form
$$ F\left( {u,f,v} \right) = 0, $$
(1.1)
where u indicates an N-dimensional state (independent) variable vector, f denotes a bifurcation (loading) parameter, and v denotes a p-dimensional imperfection parameter vector. We assume F to be a sufficiently smooth nonlinear function. It is emphasized that we have a distinguished single parameter f throughout this book.

Keywords

Critical Load Bifurcation Diagram Bifurcation Point Initial Imperfection Bifurcation Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Kiyohiro Ikeda
    • 1
  • Kazuo Murota
    • 2
  1. 1.Department of Civil EngineeringTohoku UniversityAoba SendaiJapan
  2. 2.Department of Mathematical InformaticsUniversity of TokyoTokyoJapan

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