Instabilities and Fronts in Extended Systems / / Jean-Pierre Eckmann, Pierre Collet.
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...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1990 |
Year of Publication: | 2014 |
Edition: | Course Book |
Language: | English |
Series: | Princeton Series in Physics ;
44 |
Online Access: | |
Physical Description: | 1 online resource (210 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9781400861026 |
---|---|
ctrlnum |
(DE-B1597)447080 (OCoLC)979836114 |
collection |
bib_alma |
record_format |
marc |
spelling |
Collet, Pierre, author. aut http://id.loc.gov/vocabulary/relators/aut Instabilities and Fronts in Extended Systems / Jean-Pierre Eckmann, Pierre Collet. Course Book Princeton, NJ : Princeton University Press, [2014] ©1990 1 online resource (210 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Series in Physics ; 44 Frontmatter -- Contents -- Preface -- Outline -- CHAPTER I. SETTING THE STAGE -- CHAPTER II. SMALL SOLUTIONS -- CHAPTER III. BIFURCATION THEORY -- CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS -- CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS -- CHAPTER VI. MULTISCALE ANALYSIS -- CHAPTER VII. FRONTS -- Outlook -- Notation -- Glossary -- References -- Analytical Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Bifurcation theory. Differentiable dynamical systems. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. SCIENCE Physics General. Stability. SCIENCE / Physics / General. bisacsh Eckmann, Jean-Pierre, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 9783110413441 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691607610 https://doi.org/10.1515/9781400861026 https://www.degruyter.com/isbn/9781400861026 Cover https://www.degruyter.com/cover/covers/9781400861026.jpg |
language |
English |
format |
eBook |
author |
Collet, Pierre, Collet, Pierre, Eckmann, Jean-Pierre, |
spellingShingle |
Collet, Pierre, Collet, Pierre, Eckmann, Jean-Pierre, Instabilities and Fronts in Extended Systems / Princeton Series in Physics ; Frontmatter -- Contents -- Preface -- Outline -- CHAPTER I. SETTING THE STAGE -- CHAPTER II. SMALL SOLUTIONS -- CHAPTER III. BIFURCATION THEORY -- CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS -- CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS -- CHAPTER VI. MULTISCALE ANALYSIS -- CHAPTER VII. FRONTS -- Outlook -- Notation -- Glossary -- References -- Analytical Index |
author_facet |
Collet, Pierre, Collet, Pierre, Eckmann, Jean-Pierre, Eckmann, Jean-Pierre, Eckmann, Jean-Pierre, |
author_variant |
p c pc p c pc j p e jpe |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Eckmann, Jean-Pierre, Eckmann, Jean-Pierre, |
author2_variant |
j p e jpe |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Collet, Pierre, |
title |
Instabilities and Fronts in Extended Systems / |
title_full |
Instabilities and Fronts in Extended Systems / Jean-Pierre Eckmann, Pierre Collet. |
title_fullStr |
Instabilities and Fronts in Extended Systems / Jean-Pierre Eckmann, Pierre Collet. |
title_full_unstemmed |
Instabilities and Fronts in Extended Systems / Jean-Pierre Eckmann, Pierre Collet. |
title_auth |
Instabilities and Fronts in Extended Systems / |
title_alt |
Frontmatter -- Contents -- Preface -- Outline -- CHAPTER I. SETTING THE STAGE -- CHAPTER II. SMALL SOLUTIONS -- CHAPTER III. BIFURCATION THEORY -- CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS -- CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS -- CHAPTER VI. MULTISCALE ANALYSIS -- CHAPTER VII. FRONTS -- Outlook -- Notation -- Glossary -- References -- Analytical Index |
title_new |
Instabilities and Fronts in Extended Systems / |
title_sort |
instabilities and fronts in extended systems / |
series |
Princeton Series in Physics ; |
series2 |
Princeton Series in Physics ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (210 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Preface -- Outline -- CHAPTER I. SETTING THE STAGE -- CHAPTER II. SMALL SOLUTIONS -- CHAPTER III. BIFURCATION THEORY -- CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS -- CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS -- CHAPTER VI. MULTISCALE ANALYSIS -- CHAPTER VII. FRONTS -- Outlook -- Notation -- Glossary -- References -- Analytical Index |
isbn |
9781400861026 9783110413441 9783110413595 9783110442496 9780691607610 |
genre_facet |
Calculus. Physics General. |
url |
https://doi.org/10.1515/9781400861026 https://www.degruyter.com/isbn/9781400861026 https://www.degruyter.com/cover/covers/9781400861026.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.353 |
dewey-sort |
3515 3353 |
dewey-raw |
515/.353 |
dewey-search |
515/.353 |
doi_str_mv |
10.1515/9781400861026 |
oclc_num |
979836114 |
work_keys_str_mv |
AT colletpierre instabilitiesandfrontsinextendedsystems AT eckmannjeanpierre instabilitiesandfrontsinextendedsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)447080 (OCoLC)979836114 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Instabilities and Fronts in Extended Systems / |
container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
author2_original_writing_str_mv |
noLinkedField noLinkedField |
_version_ |
1770176693121581056 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05380nam a22008055i 4500</leader><controlfield tag="001">9781400861026</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20141990nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400861026</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400861026</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)447080</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979836114</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI055000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515/.353</subfield><subfield code="2">20</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Collet, Pierre, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Instabilities and Fronts in Extended Systems /</subfield><subfield code="c">Jean-Pierre Eckmann, Pierre Collet.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Course Book</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2014]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (210 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Princeton Series in Physics ;</subfield><subfield code="v">44</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Outline -- </subfield><subfield code="t">CHAPTER I. SETTING THE STAGE -- </subfield><subfield code="t">CHAPTER II. SMALL SOLUTIONS -- </subfield><subfield code="t">CHAPTER III. BIFURCATION THEORY -- </subfield><subfield code="t">CHAPTER IV. STATIONARY AND QUASISTATIONARY SOLUTIONS -- </subfield><subfield code="t">CHAPTER V. CONSEQUENCES OF THE LINEAR INSTABILITY OF STATIONARY SOLUTIONS -- </subfield><subfield code="t">CHAPTER VI. MULTISCALE ANALYSIS -- </subfield><subfield code="t">CHAPTER VII. FRONTS -- </subfield><subfield code="t">Outlook -- </subfield><subfield code="t">Notation -- </subfield><subfield code="t">Glossary -- </subfield><subfield code="t">References -- </subfield><subfield code="t">Analytical Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Bifurcation theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Differentiable dynamical systems.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">MATHEMATICS</subfield><subfield code="v">Calculus.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Mathematical Analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">SCIENCE</subfield><subfield code="v">Physics</subfield><subfield code="v">General.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Stability.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE / Physics / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Eckmann, Jean-Pierre, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Legacy Lib. eBook Package 1980-1999</subfield><subfield code="z">9783110413441</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Legacy Lib. eBook Package Science</subfield><subfield code="z">9783110413595</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="z">9783110442496</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691607610</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400861026</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400861026</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9781400861026.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-041344-1 Princeton Legacy Lib. eBook Package 1980-1999</subfield><subfield code="c">1980</subfield><subfield code="d">1999</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="c">1927</subfield><subfield code="d">1999</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield></record></collection> |