Bifurcation Theory And Applications

Автор: Tian Ma, Shouhong Wang

Език:

Корици: С твърди корици

Издател: World Scientific Publishing Co Pte Ltd

Наличност: 50% вероятност

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This book covers comprehensive bifurcation theory and its applications to dynamical systems and part...

Информация за книгата

Автор

Tian Ma, Shouhong Wang

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2005

страници

392

EAN

9789812562876

ISBN

9812562877

Enbook ID

05068033

Издател

World Scientific Publishing Co Pte Ltd

Теглоt

704

Размери

159 x 234 x 27

Пълно описание

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 non-linear problems with even order nondegenerate non-linearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for non-linear evolution equations, a new notion of bifurcation. With this new notion of bifurcation, many long-standing 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 non-linear dynamics for many problems in science linearised engineering.

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