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Elementary Stability and Bifurcation Theory

✍ Scribed by Gérard Iooss, Daniel D. Joseph (auth.)

Publisher
Springer New York
Year
1980
Tongue
English
Leaves
299
Series
Undergraduate Texts in Mathematics
Category
Library
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✦ Table of Contents

Front Matter....Pages i-xv
Introduction....Pages 1-3
Equilibrium Solutions of Evolution Problems....Pages 4-12
Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension....Pages 13-31
Imperfection Theory and Isolated Solutions Which Perturb Bifurcation....Pages 32-44
Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions....Pages 45-61
Bifurcation of Steady Solutions in Two Dimensions and the Stability of the Bifurcating Solutions....Pages 62-85
Methods of Projection for General Problems of Bifurcation into Steady Solutions....Pages 86-122
Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions....Pages 123-138
Bifurcation of Periodic Solutions in the General Case....Pages 139-156
Subharmonic Bifurcation of Forced T -Periodic Solutions....Pages 157-185
Bifurcation of Forced T -Periodic Solutions into Asymptotically Quasi-Periodic Solutions....Pages 186-242
Secondary Subharmonic and Asymptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf’s Type) in the Autonomous Case....Pages 243-280
Back Matter....Pages 281-286

✦ Subjects

Theoretical, Mathematical and Computational Physics

πŸ“œ SIMILAR VOLUMES

Elementary Stability and Bifurcation The
πŸ“ Elementary Stability and Bifurcation Theory
✍ Gerard Iooss, Daniel D. Joseph πŸ“‚ Library πŸ“… 1997 πŸ› Springer-Verlag Gmbh 🌐 English

This second edition has been substantially revised. Its purpose is to teach the theory of bifurcation of asymptotic solutions of evolution problems governed by nonlinear differential equations. It is written not only for mathematicians, but for the broadest audience of potentially interested learner

Elementary Stability and Bifurcation The
πŸ“ Elementary Stability and Bifurcation Theory
✍ Gerard Iooss, Daniel D. Joseph πŸ“‚ Library πŸ“… 1989 πŸ› Springer 🌐 English

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

Elementary Stability and Bifurcation The
πŸ“ Elementary Stability and Bifurcation Theory
✍ GΓ©rard Iooss, Daniel D. Joseph (auth.) πŸ“‚ Library πŸ“… 1990 πŸ› Springer-Verlag New York 🌐 English

<p>In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations. By asymptotic 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 asymptot