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.\n\nBy 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 IVMeanders and the Temperley-Lieb Algebra Representations of Seaweed Lie Algebras CYBE and Seaweed Meanders Additional ISBNs311053147X, 3110533022, 9783110531473, 9783110533026Read More Meanders: Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation 1st Edition is written by Anna Karnauhova and published by De Gruyter. ISBNs for Meanders are 9783110531718, 3110531712 and the print ISBNs are 9783110531473, 311053147X. Additional ISBNs include 311053147X, 3110533022, 9783110531473, 9783110533026.