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Imperfect Bifurcation in Structures and Materials
Engineering Use of Group-Theoretic Bifurcation Theory
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This illustrated book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes).This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods--based on asymptotic, probabilistic, and group-theoretic standpoints--are used to examine experimental and computational data from numerous examples (e.g., soil, sand, kaolin, concrete, domes, etc.). Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. For mathematicians, static bifurcation theory for finite dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples.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.
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