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Instabilities and fronts in extended systems /
The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed. To the uninitiated reader, the theore...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press,
[1990]
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| Colección: | Princeton series in physics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Collet, Pierre, |d 1948- |e author. | |
| 245 | 1 | 0 | |a Instabilities and fronts in extended systems / |c Pierre Collet, Jean-Pierre Eckmann. |
| 264 | 1 | |a Princeton, New Jersey : |b Princeton University Press, |c [1990] | |
| 264 | 4 | |c ©1990 | |
| 300 | |a 1 online resource (209 pages) : |b illustrations | ||
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| 490 | 1 | |a Princeton series in physics | |
| 490 | 0 | |a Princeton legacy library | |
| 504 | |a Includes bibliographical references (pages 191-193) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Outline -- |t CHAPTER I. SETTING THE STAGE -- |t CHAPTER II. SMALL SOLUTIONS -- |t CHAPTER III. BIFURCATION THEORY -- |t CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS -- |t CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS -- |t CHAPTER VI. MULTISCALE ANALYSIS -- |t CHAPTER VII. FRONTS -- |t Outlook -- |t Notation -- |t Glossary -- |t References -- |t Analytical Index. |
| 520 | |a The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed. To the uninitiated reader, the theoretical methods that lead to the various results often seem somewhat ad hoc, and it is not clear how to generalize them to the nextthat is, not yet solvedproblem. In an introduction to the subject of instabilities in spatially infinite systems, Pierre Collet and Jean-Pierre Eckmann aim to give a systematic account of these methods, and to work out the relevant features that make them operational. The book examines in detail a number of model equations from physics. The mathematical developments of the subject are based on bifurcation theory and on the theory of invariant manifolds. These are combined to give a coherent description of several problems in which instabilities occur, notably the Eckhaus instability and the formation of fronts in the Swift-Hohenberg equation. These phenomena can appear only in infinite systems, and this book breaks new ground as a systematic account of the mathematics connected with infinite space domains. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
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| 650 | 0 | |a Bifurcation theory. | |
| 650 | 0 | |a Stability. | |
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 6 | |a Théorie de la bifurcation. | |
| 650 | 6 | |a Stabilité. | |
| 650 | 6 | |a Dynamique différentiable. | |
| 650 | 7 | |a stability. |2 aat | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Bifurcation theory. |2 fast |0 (OCoLC)fst00831564 | |
| 650 | 7 | |a Differentiable dynamical systems. |2 fast |0 (OCoLC)fst00893426 | |
| 650 | 7 | |a Stability. |2 fast |0 (OCoLC)fst01131203 | |
| 700 | 1 | |a Eckmann, Jean Pierre, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Collet, Pierre. |t Instabilities and fronts in extended systems. |d Princeton, New Jersey : Princeton University Press, [1990] |h xii, 196 pages ; 25 cm. |k Princeton series in physics |z 9780691607610 |w (DLC) 10900198 |
| 776 | 0 | 8 | |i Print version: |a Collet, Pierre, 1948- |t Instabilities and fronts in extended systems. |d Princeton, N.J. : Princeton University Press, 1990 |z 0691085684 |w (DLC) 89024050 |w (OCoLC)20358003 |
| 830 | 0 | |a Princeton series in physics. | |
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