Imperfect Bifurcation in Structures and Materials Engineering Use of Group-Theoretic Bifurcation Theory

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

Many physical systems lose or gain stability and pattern through bifurca­ tion behavior. Extensive research of this behavior is carried out in many fields of science and engineering. The study of dynamic bifurcation be­ havior, for example, has made clear the mechanism of dynamic instability and cha...

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Bibliographic Details
Main Authors: Ikeda, Kiyohiro (Author), Murota, Kazuo (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2002.
Edition:1st ed. 2002.
Series:Applied Mathematical Sciences, 149
Springer eBook Collection.
Subjects:
Mechanics.
Mechanics, Applied.
Dynamics.
Ergodic theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction to Bifurcation Behavior
  • 2 Critical Points and Local Behavior
  • 3 Imperfection Sensitivity Laws
  • 4 Critical Initial Imperfection (I)
  • 5 Random Initial Imperfection (I)
  • 6 Experimentally Observed Bifurcation Diagrams
  • 7 Group-Theoretic Bifurcation Theory
  • 8 Bifurcation Behavior of Dn-Equivariant Systems
  • 9 Critical Initial Imperfection (II)
  • 10 Random Initial Imperfection (II)
  • 11 Description of Bifurcation Behaviors
  • 12 Bifurcation of Cylindrical Sand Specimens
  • 13 Echelon-Mode Formation
  • 14 Bifurcation of Steel Specimens
  • 15 Miscellaneous Aspects of Bifurcation Phenomena
  • References.

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