The Leading eBooks Store Online

for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, BlackBerry ...

New to eBooks.com?

Learn more

Bifurcation Theory And Applications

Bifurcation Theory And Applications by Tian Ma
Add to cart
US$ 189.00
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 notion of bifurcation, many longstanding 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 nonlinear dynamics for many problems in science and engineering.

World Scientific Publishing Company; June 2005
391 pages; ISBN 9789812701152
Read online, or download in secure PDF format
Title: Bifurcation Theory And Applications
Author: Tian Ma; Shouhong Wang
 
Buy, download and read Bifurcation Theory And Applications (eBook) by Tian Ma; Shouhong Wang today!