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:
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

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505 0 |a 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. 
588 0 |a Print version record. 
520 |a 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. 
546 |a English. 
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650 0 |a Differential equations, Nonlinear  |x Numerical solutions.  |0 http://id.loc.gov/authorities/subjects/sh85037908 
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