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
