Connection Matrices in Combinatorial Topological Dynamics

Free Download Connection Matrices in Combinatorial Topological Dynamics
English | 2025 | ISBN: 3031875990 | 165 Pages | PDF EPUB (True) | 23 MB
This book provides an introduction to the theory of connection matrices in the context of combinatorial multivector fields. The theory of connection matrices was proposed by Conley and Franzosa for classical continuous-time dynamical systems as a tool for studying connecting orbits between isolated invariant sets. It generalizes the Morse complex in Morse theory, and has found numerous applications in dynamics. Connection matrices have been and still are a challenging topic to study, as there are no complete introductory texts, and both their intricate definition and properties are scattered over numerous research papers.