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Elementary Stability and Bifurcation Theory, 2nd Edition (Undergraduate Texts in Mathematics)

by and

Elementary Stability and Bifurcation Theory, 2nd Edition (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

(Advanced!) undergraduates and researchers with practical interest in the essentials and typical applications of bifurcation theory have for a decade been familiar with the first edition (1980) of this fine text. Drawing inspiration from Einstein's "everything should be made as simple as possible, but not simpler", the authors have undertaken simultaneously to simplify the treatment and to find room for discussion of some recent developments. Twelve chapters (many examples, many figures, no exercises) provide good coverage of the essentials of the asymptotics of (effectively) low-dimensional non- linear differential equations of evolution. Applications notable for their variety. Handsomely produced. (NW)
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

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.

Table of Contents

Asymptotic Solutions of Evolution Problems.- Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension.- Imperfection Theory and Isolated Solutions Which Perturb Bifurcation.- Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions. Appendices.- Bifurcation of Steady Solution in Two Dimensions and the Stability of the Bifurcating Solutions. Appendix.- Methods of Projection for General Problems of Bifurcation into Steady Solutions.- Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions.- Bifurcation of Periodic Solutions in the General Case.- Subharmonic Bifurcation of Forced T-Periodic Solutions.- Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions. Appendices.- Secondary Subharmonic and Symptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf's Type) in the Autonomous Case.- Stability and Bifurcation in Conservative Systems.

Product Details

ISBN:
9780387970684
Author:
Gerard Iooss and Daniel D. Joseph
Publisher:
Springer
With:
Jospeh, D. D.
Author:
Joseph, D. D.
Author:
Jospeh, D. D.
Author:
Iooss, Gerard
Author:
Ioos, G.
Author:
Joseph, Daniel D.
Location:
New York
Subject:
Differential Equations
Subject:
Bifurcation theory
Subject:
Evolution equations
Subject:
Stability
Subject:
Mathematical Analysis
Subject:
bifurcation
Subject:
Nichtlineare Entwicklungsgleichung
Subject:
stabilit
Subject:
ntilde;t
Subject:
Verzweigung (Math.)
Subject:
Analysis
Subject:
Mathematics-Differential Equations
Subject:
Stabilität
Subject:
Theoretical, Mathematical and Computational Physics
Copyright:
Edition Number:
2
Edition Description:
2nd rev. ed. 1990. Corr. 2nd printing
Series:
Undergraduate Texts in Mathematics
Publication Date:
19891206
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
347
Dimensions:
235 x 155 mm 1490 gr

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Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Elementary Stability and Bifurcation Theory, 2nd Edition (Undergraduate Texts in Mathematics) New Hardcover
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$108.50 In Stock
Product details 347 pages Springer - English 9780387970684 Reviews:
"Synopsis" by , 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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