Meanders : : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / / Anna Karnauhova.
This unique book’s subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edg...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2017 |
Year of Publication: | 2017 |
Language: | English |
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Physical Description: | 1 online resource (VIII, 138 p.) |
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Karnauhova, Anna, author. aut http://id.loc.gov/vocabulary/relators/aut Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / Anna Karnauhova. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (VIII, 138 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- 1. Seaweed Meanders -- 2. Meanders -- 3. Morse Meanders and Sturm Global Attractors -- 4. Right and Left One-Shifts -- 5. Connection Graphs of Type I, II, III and IV -- 6. Meanders and the Temperley–Lieb Algebra -- 7. Seaweed Lie Algebras and Seaweed Meanders -- 8. Classical Yang–Baxter Equation and Seaweed Meanders -- Summary in German (Zusammenfassung) -- Bibliography restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This unique book’s subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation. Contents Seaweed Meanders Meanders Morse Meanders and Sturm Global Attractors Right and Left One-Shifts Connection Graphs of Type I, II, III and IV Meanders and the Temperley-Lieb Algebra Representations of Seaweed Lie Algebras CYBE and Seaweed Meanders 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) Attractors (Mathematics). Curves, Algebraic. Lie algebras. Yang-Baxter equation. Attraktor. Dynamisches System. Lie-Algebra. Morse-Theorie. Yang-Baxter-Gleichung. MATHEMATICS / Geometry / General. bisacsh Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 9783110548204 ZDB-23-DMA EPUB 9783110531718 print 9783110531473 https://doi.org/10.1515/9783110533026 https://www.degruyter.com/isbn/9783110533026 Cover https://www.degruyter.com/cover/covers/9783110533026.jpg |
language |
English |
format |
eBook |
author |
Karnauhova, Anna, Karnauhova, Anna, |
spellingShingle |
Karnauhova, Anna, Karnauhova, Anna, Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / Frontmatter -- Contents -- Preface -- 1. Seaweed Meanders -- 2. Meanders -- 3. Morse Meanders and Sturm Global Attractors -- 4. Right and Left One-Shifts -- 5. Connection Graphs of Type I, II, III and IV -- 6. Meanders and the Temperley–Lieb Algebra -- 7. Seaweed Lie Algebras and Seaweed Meanders -- 8. Classical Yang–Baxter Equation and Seaweed Meanders -- Summary in German (Zusammenfassung) -- Bibliography |
author_facet |
Karnauhova, Anna, Karnauhova, Anna, |
author_variant |
a k ak a k ak |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Karnauhova, Anna, |
title |
Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / |
title_sub |
Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / |
title_full |
Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / Anna Karnauhova. |
title_fullStr |
Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / Anna Karnauhova. |
title_full_unstemmed |
Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / Anna Karnauhova. |
title_auth |
Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / |
title_alt |
Frontmatter -- Contents -- Preface -- 1. Seaweed Meanders -- 2. Meanders -- 3. Morse Meanders and Sturm Global Attractors -- 4. Right and Left One-Shifts -- 5. Connection Graphs of Type I, II, III and IV -- 6. Meanders and the Temperley–Lieb Algebra -- 7. Seaweed Lie Algebras and Seaweed Meanders -- 8. Classical Yang–Baxter Equation and Seaweed Meanders -- Summary in German (Zusammenfassung) -- Bibliography |
title_new |
Meanders : |
title_sort |
meanders : sturm global attractors, seaweed lie algebras and classical yang-baxter equation / |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (VIII, 138 p.) |
contents |
Frontmatter -- Contents -- Preface -- 1. Seaweed Meanders -- 2. Meanders -- 3. Morse Meanders and Sturm Global Attractors -- 4. Right and Left One-Shifts -- 5. Connection Graphs of Type I, II, III and IV -- 6. Meanders and the Temperley–Lieb Algebra -- 7. Seaweed Lie Algebras and Seaweed Meanders -- 8. Classical Yang–Baxter Equation and Seaweed Meanders -- Summary in German (Zusammenfassung) -- Bibliography |
isbn |
9783110533026 9783110719543 9783110540550 9783110625264 9783110548204 9783110531718 9783110531473 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA567 |
callnumber-sort |
QA 3567 |
url |
https://doi.org/10.1515/9783110533026 https://www.degruyter.com/isbn/9783110533026 https://www.degruyter.com/cover/covers/9783110533026.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512 |
dewey-sort |
3512 |
dewey-raw |
512 |
dewey-search |
512 |
doi_str_mv |
10.1515/9783110533026 |
oclc_num |
987934923 |
work_keys_str_mv |
AT karnauhovaanna meanderssturmglobalattractorsseaweedliealgebrasandclassicalyangbaxterequation |
status_str |
n |
ids_txt_mv |
(DE-B1597)477392 (OCoLC)987934923 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 |
is_hierarchy_title |
Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation / |
container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
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1806144448932872192 |
fullrecord |
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Seaweed Meanders -- </subfield><subfield code="t">2. Meanders -- </subfield><subfield code="t">3. Morse Meanders and Sturm Global Attractors -- </subfield><subfield code="t">4. Right and Left One-Shifts -- </subfield><subfield code="t">5. Connection Graphs of Type I, II, III and IV -- </subfield><subfield code="t">6. Meanders and the Temperley–Lieb Algebra -- </subfield><subfield code="t">7. Seaweed Lie Algebras and Seaweed Meanders -- </subfield><subfield code="t">8. 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Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation. Contents Seaweed Meanders Meanders Morse Meanders and Sturm Global Attractors Right and Left One-Shifts Connection Graphs of Type I, II, III and IV Meanders and the Temperley-Lieb Algebra Representations of Seaweed Lie Algebras CYBE and Seaweed Meanders</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. 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