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Mrozek M. Connection Matrices in Combinatorial Topological Dynamics 2025

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Mrozek M. Connection Matrices in Combinatorial Topological Dynamics 2025

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Category: Other
Total size: 4.82 MB
Added: 1 month ago (2025-08-06 09:55:01)

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Info Hash: 8C4A539B05927D57B9EC562CC927D93D333851D9
Last updated: 7 hours ago (2025-09-18 16:37:12)

Description:

Textbook in PDF format 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

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