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Bifurcation Theory and Applications
Contributor(s): Wang, Shouhong (Author), Ma, Tian (Author)

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 ISBN: 9812562877     ISBN-13: 9789812562876
Publisher: World Scientific Publishing Company
OUR PRICE: $137.75  

Binding Type: Hardcover - See All Available Formats & Editions
Published: June 2005
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Temporarily out of stock - Will ship within 2 to 5 weeks

Annotation: - Provides a comprehensive and intuitive review of existing bifurcation theories
- New theories for bifurcations from eigenvalues with even multiplicity
- General recipes for applications

Click for more in this series: World Scientific Series on Nonlinear Science. Series A,
Additional Information
BISAC Categories:
- Science | Chaotic Behavior In Systems
- Mathematics | Mathematical Analysis
- Science | Mechanics - Fluids
Dewey: 515.392
Series: World Scientific Series on Nonlinear Science. Series A,
Physical Information: 1.07" H x 6.46" W x 9.26" L (1.56 lbs) 392 pages
Features: Bibliography, Dust Cover, Illustrated, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics.The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation.With this new notion of bifurcation, many longstanding bifurcation problems in science and engineering are becoming accessible, and are treated in the second part of the book. In particular, applications are covered for a variety of PDEs from science and engineering, including the Kuramoto-Sivashinsky equation, the Cahn-Hillard equation, the Ginzburg-Landau equation, reaction-diffusion equations in biology and chemistry, the Benard convection problem, and the Taylor problem. The applications provide, on the one hand, general recipes for other applications of the theory addressed in this book, and on the other, full classifications of the bifurcated attractor and the global attractor as the control parameters cross certain critical values, dictated usually by the eigenvalues of the linearized problems. It is expected that the book will greatly advance the study of nonlinear dynamics for many problems in science and engineering.
 
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