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Meanders : Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation /

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 directe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Karnauhova, Anna
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2017]
Temas:
Acceso en línea:Texto completo

MARC

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049 |a UAMI 
100 1 |a Karnauhova, Anna. 
245 1 0 |a Meanders :  |b Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation /  |c Anna Karnauhova. 
264 1 |a Berlin ;  |a Boston :  |b De Gruyter,  |c [2017] 
264 4 |c ©2017 
300 |a 1 online resource (146 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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505 0 0 |t Frontmatter --  |t Contents --  |t Preface --  |t 1. Seaweed Meanders --  |t 2. Meanders --  |t 3. Morse Meanders and Sturm Global Attractors --  |t 4. Right and Left One-Shifts --  |t 5. Connection Graphs of Type I, II, III and IV --  |t 6. Meanders and the Temperley-Lieb Algebra --  |t 7. Seaweed Lie Algebras and Seaweed Meanders --  |t 8. Classical Yang-Baxter Equation and Seaweed Meanders --  |t Summary in German (Zusammenfassung) --  |t Bibliography. 
520 |a 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. 
546 |a In English. 
588 0 |a Online resource; title from PDF title page (publisher's Web site, viewed May. 17, 2017). 
504 |a Includes bibliographical references and index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Curves, Algebraic. 
650 0 |a Attractors (Mathematics) 
650 0 |a Lie algebras. 
650 0 |a Yang-Baxter equation. 
650 6 |a Courbes algébriques. 
650 6 |a Attracteurs (Mathématiques) 
650 6 |a Algèbres de Lie. 
650 6 |a Équation de Yang-Baxter. 
650 7 |a MATHEMATICS / Geometry / General.  |2 bisacsh 
650 7 |a Attractors (Mathematics)  |2 fast 
650 7 |a Curves, Algebraic  |2 fast 
650 7 |a Lie algebras  |2 fast 
650 7 |a Yang-Baxter equation  |2 fast 
653 |a (Produktform)Electronic book text 
653 |a (Zielgruppe)Fachpublikum/ Wissenschaft 
653 |a (BISAC Subject Heading)MAT012000 
653 |a (BISAC Subject Heading)MAT007000: MAT007000 MATHEMATICS / Differential Equations 
653 |a (BISAC Subject Heading)MAT038000: MAT038000 MATHEMATICS / Topology 
653 |a (BISAC Subject Heading)MAT002000: MAT002000 MATHEMATICS / Algebra / General 
653 |a Dynamisches System 
653 |a Lie-Algebra 
653 |a Attraktor 
653 |a Morse-Theorie 
653 |a Yang-Baxter-Gleichung 
653 |a (VLB-WN)9620 
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