Bifurcation theory and applications /

Bifurcation theory and applications /

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Bibliographic Details
Author / Creator:	Ma, Tian, 1956-
Imprint:	Singapore ; London : World Scientific, ©2005.
Description:	1 online resource (xiii, 375 pages) : illustrations.
Language:	English
Series:	World Scientific series on nonlinear science. Series A ; v. 53 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 53.
Subject:	Bifurcation theory. Differential equations, Nonlinear -- Numerical solutions. Bifurcation theory. Differential equations, Nonlinear -- Numerical solutions. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11170900

Hidden Bibliographic Details
Other authors / contributors:	Wang, Shouhong, 1962-
ISBN:	981270115X 9789812701152 9789812562876 9812562877 9789812563521 9812563520 9812562877 9812563520 1281896918 9781281896919 9786611896911 6611896910
Digital file characteristics:	data file
Notes:	Includes bibliographical references and index. English. Print version record.
Summary:	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 notio.
Other form:	Print version: Ma, Tian, 1956- Bifurcation theory and applications. Singapore ; Hackensack, N.J. : World Scientific, 2005 9812562877 9812563520

Table of Contents:

Introduction to steady state bifurcation theory
Introduction to dynamic bifurcation
Reduction procedures and stability
Steady state bifurcations
Dynamic bifurcation theory: Finite dimensional case
Dynamic bifurcation theory: Infinite dimensional case
Bifurcations for nonlinear elliptic equations
Reaction-diffusion equations
Pattern formation and wave equations
Fluid dynamics.