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The Resource Instabilities and fronts in extended systems, Pierre Collet, Jean-Pierre Eckmann

Instabilities and fronts in extended systems, Pierre Collet, Jean-Pierre Eckmann

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Author
Contributor
Summary
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
Language
eng
Work
Publication
Extent
1 online resource (209 pages)
Contents
  • CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS
  • CHAPTER VI. MULTISCALE ANALYSIS
  • CHAPTER VII. FRONTS
  • Outlook
  • Notation
  • Glossary
  • References
  • Analytical Index
  • Frontmatter
  • Contents
  • Preface
  • Outline
  • CHAPTER I. SETTING THE STAGE
  • CHAPTER II. SMALL SOLUTIONS
  • CHAPTER III. BIFURCATION THEORY
  • CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS
Isbn
9781400861026
Instance
Label
Instabilities and fronts in extended systems
Title
Instabilities and fronts in extended systems
Statement of responsibility
Pierre Collet, Jean-Pierre Eckmann
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
E7B
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Collet, Pierre
Dewey number
515/.353
Illustrations
illustrations
Index
index present
LC call number
QA374
LC item number
.C59 1990eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Eckmann, Jean Pierre
Series statement
  • Princeton legacy library
  • Princeton series in physics
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Stability
  • Differentiable dynamical systems
  • SCIENCE
  • MATHEMATICS
  • MATHEMATICS
  • Bifurcation theory
  • Differentiable dynamical systems
  • Stability
Label
Instabilities and fronts in extended systems, Pierre Collet, Jean-Pierre Eckmann
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 191-193) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS
  • CHAPTER VI. MULTISCALE ANALYSIS
  • CHAPTER VII. FRONTS
  • Outlook
  • Notation
  • Glossary
  • References
  • Analytical Index
  • Frontmatter
  • Contents
  • Preface
  • Outline
  • CHAPTER I. SETTING THE STAGE
  • CHAPTER II. SMALL SOLUTIONS
  • CHAPTER III. BIFURCATION THEORY
  • CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS
Control code
889253463
Dimensions
unknown
Extent
1 online resource (209 pages)
Form of item
online
Isbn
9781400861026
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt734zc0
Specific material designation
remote
System control number
(OCoLC)889253463
Label
Instabilities and fronts in extended systems, Pierre Collet, Jean-Pierre Eckmann
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 191-193) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS
  • CHAPTER VI. MULTISCALE ANALYSIS
  • CHAPTER VII. FRONTS
  • Outlook
  • Notation
  • Glossary
  • References
  • Analytical Index
  • Frontmatter
  • Contents
  • Preface
  • Outline
  • CHAPTER I. SETTING THE STAGE
  • CHAPTER II. SMALL SOLUTIONS
  • CHAPTER III. BIFURCATION THEORY
  • CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS
Control code
889253463
Dimensions
unknown
Extent
1 online resource (209 pages)
Form of item
online
Isbn
9781400861026
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt734zc0
Specific material designation
remote
System control number
(OCoLC)889253463

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