Connection Matrices in Combinatorial Topological Dynamics

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...

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Autors principals: Mrozek, Marian (Autor), Wanner, Thomas (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edició:1st ed. 2025.
Col·lecció:SpringerBriefs in Mathematics,
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Accés en línia:https://doi.org/10.1007/978-3-031-87600-4
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Taula de continguts:
  • Preface
  • Introduction
  • Main Results
  • Preliminaries
  • Poset Filtered Chain Complexes
  • Algebraic Connection Matrices
  • Connection Matrices in Lefschetz Complexes
  • Dynamics of Combinatorial Multivector Fields
  • Connection Matrices for Forman's Gradient Vector Fields
  • Future Work and Open Problems
  • References.