Bifurcation theory and applications / Tian Ma, Shouhong Wang.

Format:

Book

Author/Creator:

Ma, Tian, 1956-

Contributor:

Wang, Shouhong, 1962-

Series:

World Scientific series on nonlinear science. Monographs and treatises ; Series A, v. 53.

World Scientific series on nonlinear science. Series A ; v. 53

Language:

English

Subjects (All):

Bifurcation theory.

Differential equations, Nonlinear--Numerical solutions.

Differential equations, Nonlinear.

Physical Description:

1 online resource (391 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; London : World Scientific, c2005.

Language Note:

English

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

Contents:

Preface; Contents; Chapter 1 Introduction to Steady State Bifurcation Theory; Chapter 2 Introduction to Dynamic Bifurcation; Chapter 3 Reduction Procedures and Stability; Chapter 4 Steady State Bifurcations; Chapter 5 Dynamic Bifurcation Theory: Finite Dimensional Case; Chapter 6 Dynamic Bifurcation Theory: Infinite Dimensional Case; Chapter 7 Bifurcations for Nonlinear Elliptic Equations; Chapter 8 Reaction-Diffusion Equations; Chapter 9 Pattern Formation and Wave Equations; Chapter 10 Fluid Dynamics; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611896911

9781281896919

1281896918

9789812701152

981270115X

OCLC:

476063194