Chaos and nonlinear dynamics: an introdu
β Robert Hilborn
π Library
π
2000
π Oxford University Press
π English
β¦ LIBER β¦
π
Nonlinear Stability and Bifurcation Theory: An Introduction for Engineers and Applied Scientists
β Scribed by Univ.-Prof. Dr. Hans Troger, Univ.-Ass. Dr. Alois Steindl (auth.)
- Publisher
- Springer-Verlag Wien
- Year
- 1991
- Tongue
- English
- Leaves
- 418
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlinΒ ear problems has been either avoided completely or is confined to special courses where a great number of different ad-hoc methods are presented. The wide-spread believe that no straightforward solution procedures for nonlinear problems are available prevails even today in engineering cirΒ cles. Though in some courses it is indicated that in principle nonlinear problems are solveable by numerical methods the treatment of nonlinear problems, more or less, is considered to be an art or an intellectual game. A good example for this statement was the search for Ljapunov functions for nonlinear stability problems in the seventies. However things have changed. At the beginning of the seventies, startΒ ing with the work of V.1. Arnold, R. Thom and many others, new ideas which, however, have their origin in the work of H. Poincare and A. A. Andronov, in the treatment of nonlinear problems appeared. These ideas gave birth to the term Bifurcation Theory. Bifurcation theory allows to solve a great class of nonlinear problems under variation of parameters in a straightforward manner.
β¦ Table of Contents
Front Matter....Pages i-xi
Introduction....Pages 1-22
Representation of systems and definition of stability....Pages 23-45
Reduction process, bifurcation equations....Pages 46-68
Application of the reduction process....Pages 69-142
Bifurcations under symmetries....Pages 143-178
Discussion of the bifurcation equations....Pages 179-286
Back Matter....Pages 287-408
β¦ Subjects
Mechanics;Appl.Mathematics/Computational Methods of Engineering;Civil Engineering
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