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Nonlinear Stability and Bifurcation Theory

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 688/5 ( reviews)

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Book Synopsis Nonlinear Stability and Bifurcation Theory by : Hans Troger

Download or read book Nonlinear Stability and Bifurcation Theory written by Hans Troger. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlin 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 cir 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, start 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.

Topics in Stability and Bifurcation Theory

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 336/5 ( reviews)

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Book Synopsis Topics in Stability and Bifurcation Theory by : David H. Sattinger

Download or read book Topics in Stability and Bifurcation Theory written by David H. Sattinger. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Stability and Bifurcation Theory

2012-10-08 Mathematics
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Release : 2012-10-08
Genre : Mathematics
Kind : eBook
Book Rating : 779/5 ( reviews)

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Book Synopsis Elementary Stability and Bifurcation Theory by : Gerard Iooss

Download or read book Elementary Stability and Bifurcation Theory written by Gerard Iooss. This book was released on 2012-10-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Stability of Structures

2014-05-04 Technology & Engineering
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Release : 2014-05-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 462/5 ( reviews)

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Book Synopsis Nonlinear Stability of Structures by : A.N. Kounadis

Download or read book Nonlinear Stability of Structures written by A.N. Kounadis. This book was released on 2014-05-04. Available in PDF, EPUB and Kindle. Book excerpt: The present volume gives a very modern treatment of all theoretical as well as computational aspects of nonlinear structural stability. The theoretical part starts with the basic concepts of nonlinear static stability and classical dynamics and proceeds subsequently with recent progress in nonlinear dynamic stability and dynamic buckling of structures including an introduction to chaos. The first paper overviews theory and modelling of various structural instability problems. In the second section, nonlinear dynamic buckling and stability of autonomous discrete dissipative structural systems, gradient and non-gradient are discussed. The third paper handles stability and bifurcation phenomena in dynamical systems. The fourth paper contains an introduction to nonlinear dynamics and chaos. Special attention is devoted to the direct computation of critical points and path-switching strategies. A variety of numerical simulations for complicated nonlinear unstable responses also illustrate this part.

Elementary Stability and Bifurcation Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 978/5 ( reviews)

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Book Synopsis Elementary Stability and Bifurcation Theory by : Gerard Iooss

Download or read book Elementary Stability and Bifurcation Theory written by Gerard Iooss. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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