Meanders : Sturm global attractors, seaweed lie algebras and classical Yang-Baxter equation

Resource Information

The work Meanders : Sturm global attractors, seaweed lie algebras and classical Yang-Baxter equation represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

Meanders : Sturm global attractors, seaweed lie algebras and classical Yang-Baxter equation

Title remainder

Sturm global attractors, seaweed lie algebras and classical Yang-Baxter equation

Statement of responsibility

Anna Karnauhova

Creator

• Karnauhova, Anna

Subject

• Lie algebras
• Attractors (Mathematics)
• Yang-Baxter equation
• Curves, Algebraic

Language

eng

Summary

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

Cataloging source

MiAaPQ

Dewey number

512

Index

index present

LC call number

QA567

LC item number

.K376 2017

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography