Nonlinear stability and bifurcation theory

an introduction for engineers and applied scientists

Nonlinear stability and bifurcation theory
Hans Troger, Alois Steindl, Ha ...
Locate

My Reading Lists:

Create a new list



Buy this book

Last edited by Tom Morris
December 30, 2023 | History

Nonlinear stability and bifurcation theory

an introduction for engineers and applied scientists

There has been a tremendous progress in the mathematical treatment of nonlinear dynamical systems over the past two decades. This book tries to make this progress in the field of stability theory available to scientists and engineers. A unified and systematic treatment of the different types of loss of stability of equilibrium positions of statical and dynamical systems and of periodic solutions of dynamical systems is given by means of the methods of bifurcation and singuality theory. The reader needs only a background in mathematics as it is usually taught to undergraduates in engineering and, having read this book, he should be able to treat nonlinear stability and bifurcation problems himself in a straightforward way. Among others, concepts such as center manifold theory, the method of Ljapunov-Schmidt, normal form theory, unfolding theory, bifurcation diagrams, classifications and bifurcations in symmetric systems are discussed, as far as they are relevant in applications. Most important for the whole representation is a set of examples taken from mechanics and engineering showing the usefulness of the above mentioned concepts. These examples include buckling problems of rods, plates and shells and furthermore the loss of stability of the motion of road and rail vehicles, of a simple robot, and of fluid conveying elastic tubes. With these examples, questions like symmetry breaking, pattern formation, imperfection sensitivity, transition to chaos and correct modelling of systems are touched. Finally a number of selected FORTRAN-routines should encourage the reader to treat his own problem.

Publish Date
Publisher
Springer-Verlag
Language
English
Pages
407

Buy this book

Edition Availability
Cover of: Nonlinear Stability and Bifurcation Theory
Nonlinear Stability and Bifurcation Theory: An Introduction for Engineers and Applied Scientists
2012, Springer London, Limited
in English
Cover of: Nonlinear stability and bifurcation theory
Cover of: Nonlinear Stability and Bifurcation Theory
Nonlinear Stability and Bifurcation Theory
1991, Island Press
in English
Cover of: Nonlinear stability and bifurcation theory

Add another edition?

Book Details


Edition Notes

Includes bibliographical references (p. 389-401) and index.

Published in
New York

Classifications

Dewey Decimal Class
515/.35
Library of Congress
TA347.D45

The Physical Object

Pagination
xi, 407 p. :
Number of pages
407

Edition Identifiers

Open Library
OL21345582M
ISBN 10
0387822925, 3211822925
Goodreads
5592044
6040195

Work Identifiers

Work ID
OL4099389W

Community Reviews (0)

No community reviews have been submitted for this work.

Lists

History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
December 30, 2023 Edited by Tom Morris Merge works
December 30, 2023 Edited by Tom Morris merge authors
April 16, 2010 Edited by bgimpertBot Added goodreads ID.
December 15, 2009 Edited by WorkBot link works
November 2, 2008 Created by ImportBot Imported from Talis record