Elementary Stability and Bifurcation Theory
Title | Elementary Stability and Bifurcation Theory PDF eBook |
Author | Gerard Iooss |
Publisher | Springer |
Pages | 324 |
Release | 2012-10-08 |
Genre | Mathematics |
ISBN | 9781461269779 |
This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.
Elementary Stability and Bifurcation Theory
Title | Elementary Stability and Bifurcation Theory PDF eBook |
Author | G. Iooss |
Publisher | Springer Science & Business Media |
Pages | 300 |
Release | 2013-03-09 |
Genre | Science |
ISBN | 1468493361 |
In its most general form bifurcation theory is a theory of equilibrium solutions of nonlinear equations. By equilibrium solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of equilibrium solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broaqest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, econom ists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations. To accomplish our aims, we have thought it necessary to make the analysis 1. general enough to apply to the huge variety of applications which arise in science and technology, and 2. simple enough so that it can be understood by persons whose mathe matical training does not extend beyond the classical methods of analysis which were popular in the 19th Century. Of course, it is not possible to achieve generality and simplicity in a perfect union but, in fact, the general theory is simpler than the detailed theory required for particular applications. The general theory abstracts from the detailed problems only the essential features and provides the student with the skeleton on which detailed structures of the applications must rest. It is generally believed that the mathematical theory of bifurcation requires some functional analysis and some of the methods of topology and dynamics.
Elementary Stability and Bifurcation Theory
Title | Elementary Stability and Bifurcation Theory PDF eBook |
Author | Gèerard Iooss |
Publisher | |
Pages | 324 |
Release | 1990 |
Genre | Bifurcation theory |
ISBN | 9787506210256 |
Elementary Stability and Bifurcation Theory
Title | Elementary Stability and Bifurcation Theory PDF eBook |
Author | Gerard Iooss |
Publisher | Springer Science & Business Media |
Pages | 347 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461209978 |
This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.
Elementary Stability and Bifurcation Theory
Title | Elementary Stability and Bifurcation Theory PDF eBook |
Author | Joseph Iooss |
Publisher | |
Pages | 324 |
Release | 1990 |
Genre | |
ISBN |
Topics in Stability and Bifurcation Theory
Title | Topics in Stability and Bifurcation Theory PDF eBook |
Author | David H. Sattinger |
Publisher | |
Pages | 826 |
Release | 1973 |
Genre | Bifurcation theory |
ISBN |
Practical Bifurcation and Stability Analysis
Title | Practical Bifurcation and Stability Analysis PDF eBook |
Author | Rüdiger Seydel |
Publisher | Springer Science & Business Media |
Pages | 493 |
Release | 2009-12-14 |
Genre | Mathematics |
ISBN | 144191739X |
Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.