| Description |
1 online resource (xiii, 375 pages) : illustrations. |
| Series |
World Scientific series on nonlinear science. Series A ; v. 53 |
|
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 53.
|
| Bibliography |
Includes bibliographical references and index. |
| 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. |
| Note |
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. |
| Subject |
Bifurcation theory.
|
|
Differential equations, Nonlinear -- Numerical solutions.
|
|
MATHEMATICS -- Differential Equations -- General.
|
|
Bifurcation theory. (OCoLC)fst00831564
|
|
Differential equations, Nonlinear -- Numerical solutions.
(OCoLC)fst00893478
|
| Added Author |
Wang, Shouhong, 1962-
|
| Other Form: |
Print version: Ma, Tian, 1956- Bifurcation theory and applications. Singapore ; Hackensack, N.J. : World Scientific, 2005 9812562877 9812563520 (DLC) 2006295789 (OCoLC)61504323 |
| ISBN |
981270115X (electronic bk.) |
|
9789812701152 (electronic bk.) |
|
