Nonlinear Dynamics / / Axelle Amon, Marc Lefranc.
Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students. This textbook, which is the fruit of graduate courses that the aut...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
---|---|
VerfasserIn: | |
MitwirkendeR: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
Year of Publication: | 2023 |
Language: | English |
Series: | De Gruyter Textbook
|
Online Access: | |
Physical Description: | 1 online resource (X, 204 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9783110677874 |
---|---|
ctrlnum |
(DE-B1597)536594 |
collection |
bib_alma |
record_format |
marc |
spelling |
Amon, Axelle, author. aut http://id.loc.gov/vocabulary/relators/aut Nonlinear Dynamics / Axelle Amon, Marc Lefranc. Berlin ; Boston : De Gruyter, [2023] ©2023 1 online resource (X, 204 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students. This textbook, which is the fruit of graduate courses that the authors have taught at their respective universities, provides a richly illustrated introduction to nonlinear dynamical systems and chaos and a solid foundation for this fascinating subject. It will satisfy those who want discover this field, including at the undergraduate level, but also those who need a compact and consistent overview, gathering the concepts essential to nonlinear scientists.The first and second chapters describe the essential concepts needed to describe nonlinear dynamical systems as well as their stability. The third chapter introduces the concept of bifurcation, where the qualitative dynamical behavior of a system changes. The fourth chapter deals with oscillations, from their birth to their destabilization, and how they respond to external driving. The fifth and sixth chapters discuss complex behaviors that only occur in state spaces of dimension three and higher: quasi-periodicity and chaos, from their general properties to quantitative methods of characterization. All chapters are supplemented by exercises ranging from direct applications of the notions introduced in the corresponding chapter to elaborate problems involving concepts from different chapters, as well as numerical explorations. 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 01. Nov 2023) Dynamics. Chaostheorie. Dynamisches System. Nichtlineare Dynamik. Seltsamer Attraktor. Verzweigung. MATHEMATICS / Differential Equations / General. bisacsh Bifurcation. Chaos Theory. Dynamic System. Nonlinear Dynamics. Strange Attractor. Erpelding, Marion, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lefranc, Marc, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA EPUB 9783110678079 print 9783110677867 https://www.degruyter.com/isbn/9783110677874 Cover https://www.degruyter.com/document/cover/isbn/9783110677874/original |
language |
English |
format |
eBook |
author |
Amon, Axelle, Amon, Axelle, Lefranc, Marc, |
spellingShingle |
Amon, Axelle, Amon, Axelle, Lefranc, Marc, Nonlinear Dynamics / De Gruyter Textbook |
author_facet |
Amon, Axelle, Amon, Axelle, Lefranc, Marc, Erpelding, Marion, Erpelding, Marion, Lefranc, Marc, Lefranc, Marc, |
author_variant |
a a aa a a aa m l ml |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Erpelding, Marion, Erpelding, Marion, Lefranc, Marc, Lefranc, Marc, |
author2_variant |
m e me m e me m l ml |
author2_role |
MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn |
author_sort |
Amon, Axelle, |
title |
Nonlinear Dynamics / |
title_full |
Nonlinear Dynamics / Axelle Amon, Marc Lefranc. |
title_fullStr |
Nonlinear Dynamics / Axelle Amon, Marc Lefranc. |
title_full_unstemmed |
Nonlinear Dynamics / Axelle Amon, Marc Lefranc. |
title_auth |
Nonlinear Dynamics / |
title_new |
Nonlinear Dynamics / |
title_sort |
nonlinear dynamics / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2023 |
physical |
1 online resource (X, 204 p.) Issued also in print. |
isbn |
9783110677874 9783111175782 9783111319292 9783111318912 9783111319209 9783111318608 9783110678079 9783110677867 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA845 |
callnumber-sort |
QA 3845 A56 42023 |
url |
https://www.degruyter.com/isbn/9783110677874 https://www.degruyter.com/document/cover/isbn/9783110677874/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
531 - Classical mechanics; solid mechanics |
dewey-full |
531.11 |
dewey-sort |
3531.11 |
dewey-raw |
531.11 |
dewey-search |
531.11 |
work_keys_str_mv |
AT amonaxelle nonlineardynamics AT erpeldingmarion nonlineardynamics AT lefrancmarc nonlineardynamics |
status_str |
n |
ids_txt_mv |
(DE-B1597)536594 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 |
is_hierarchy_title |
Nonlinear Dynamics / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
author2_original_writing_str_mv |
noLinkedField noLinkedField noLinkedField noLinkedField |
_version_ |
1784037361034723328 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04994nam a2200889Ia 45e0</leader><controlfield tag="001">9783110677874</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20231101071823.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">231101t20232023gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110677874</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110677874</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110677874</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)536594</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">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA845</subfield><subfield code="b">.A56 2023</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">531.11</subfield><subfield code="2">23/eng/20230914</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Amon, Axelle, </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">Nonlinear Dynamics /</subfield><subfield code="c">Axelle Amon, Marc Lefranc.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2023]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2023</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (X, 204 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">De Gruyter Textbook</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">Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students. This textbook, which is the fruit of graduate courses that the authors have taught at their respective universities, provides a richly illustrated introduction to nonlinear dynamical systems and chaos and a solid foundation for this fascinating subject. It will satisfy those who want discover this field, including at the undergraduate level, but also those who need a compact and consistent overview, gathering the concepts essential to nonlinear scientists.The first and second chapters describe the essential concepts needed to describe nonlinear dynamical systems as well as their stability. The third chapter introduces the concept of bifurcation, where the qualitative dynamical behavior of a system changes. The fourth chapter deals with oscillations, from their birth to their destabilization, and how they respond to external driving. The fifth and sixth chapters discuss complex behaviors that only occur in state spaces of dimension three and higher: quasi-periodicity and chaos, from their general properties to quantitative methods of characterization. All chapters are supplemented by exercises ranging from direct applications of the notions introduced in the corresponding chapter to elaborate problems involving concepts from different chapters, as well as numerical explorations.</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 01. Nov 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Dynamics.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chaostheorie.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamisches System.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nichtlineare Dynamik.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Seltsamer Attraktor.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Verzweigung.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bifurcation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Chaos Theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dynamic System.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nonlinear Dynamics.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Strange Attractor.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Erpelding, Marion, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lefranc, Marc, </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">DG Plus DeG Package 2023 Part 1</subfield><subfield code="z">9783111175782</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">EBOOK PACKAGE COMPLETE 2023 English</subfield><subfield code="z">9783111319292</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">EBOOK PACKAGE COMPLETE 2023</subfield><subfield code="z">9783111318912</subfield><subfield code="o">ZDB-23-DGG</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">EBOOK PACKAGE Mathematics 2023 English</subfield><subfield code="z">9783111319209</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">EBOOK PACKAGE Mathematics 2023</subfield><subfield code="z">9783111318608</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110678079</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110677867</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110677874</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110677874/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-117578-2 DG Plus DeG Package 2023 Part 1</subfield><subfield code="b">2023</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-131920-9 EBOOK PACKAGE Mathematics 2023 English</subfield><subfield code="b">2023</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-131929-2 EBOOK PACKAGE COMPLETE 2023 English</subfield><subfield code="b">2023</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</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_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><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2023</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2023</subfield></datafield></record></collection> |