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Imperfect Bifurcation in Structures and Materials Engineering Use of Group-Theoretic Bifurcation Theory  Cover Image E-book E-book

Imperfect Bifurcation in Structures and Materials [electronic resource] : Engineering Use of Group-Theoretic Bifurcation Theory / by Kiyohiro Ikeda, Kazuo Murota.

Ikeda, Kiyohiro. (author.). Murota, Kazuo. (author.). SpringerLink (Online service) (Added Author).

Record details

  • ISBN: 9781441972965
  • Physical Description: XX, 520 p. online resource.
  • Publisher: New York, NY : Springer New York, 2010.
Subject: Mathematics.
Differentiable dynamical systems.
Mechanical engineering.
Mathematics.
Dynamical Systems and Ergodic Theory.
Structural Mechanics.

Electronic resources


Overview of book
Imperfect behavior at simple critical points: Critical points and local behavior ; Imperfection sensitivity laws ; Worst imperfection (I) ; Random imperfection (I) ; Experimentally observed bifurcation diagrams
Imperfect bifurcation of symmetric systems: Group-theoretic bifurcation theory ; Bifurcation behavior of Dn-equivariant systems ; Worst imperfection (II) ; Random imperfection (II) ; Description and computation of bifurcation behaviors ; Efficient transformation for block-diagonalization
Modeling of bifurcation phenomena: Bifurcation of cylindrical sand specimens ; Echelon-mode formation ; Bifurcation of steel specimens ; Flower patterns of honeycomb structures.

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