Introduction to Bifurcation Behavior

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


In this book, we study a static bifurcation problem expressed by a nonlinear governing (equilibrium) equation of the form
$$ F\left( {u,f,v} \right) = 0, $$
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.


Critical Load Bifurcation Diagram Bifurcation Point Initial Imperfection Bifurcation Equation 
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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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