Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory
著者
書誌事項
Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory
（Applied mathematical sciences, v. 149）
Springer, c2019
3rd ed
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注記
Includes bibliographical references (p. 573-581) and index
内容説明・目次
内容説明
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
目次
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 on Honeycomb Structures.- Answers to Problems.
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