A computational framework for connection matrix theory
DOI10.1007/s41468-021-00073-3zbMath1487.37018arXiv1810.04552OpenAlexW2896542238MaRDI QIDQ2239809
Kelly Spendlove, Shaun Harker, Konstantin Mischaikow
Publication date: 5 November 2021
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.04552
Conley indexpersistent homologycomputational topologydiscrete Morse theorycomputational dynamicsconnection matrix
Persistent homology and applications, topological data analysis (55N31) Stability of topological dynamical systems (37B25) Index theory for dynamical systems, Morse-Conley indices (37B30) Topological data analysis (62R40)
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Cites Work
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- Morse theory for filtrations and efficient computation of persistent homology
- Discrete Morse theoretic algorithms for computing homology of complexes and maps
- Lattice structures for attractors. II
- Witten's complex and infinite dimensional Morse theory
- Simplical models for the global dynamics of attractors
- Multidimensional persistence and noise
- Acyclic partial matchings for multidimensional persistence: algorithm and combinatorial interpretation
- Computing multiparameter persistent homology through a discrete Morse-based approach
- Categorification of persistent homology
- Allowing cycles in discrete Morse theory
- An algorithmic approach to chain recurrence
- Lattice structures for attractors. I
- On the groups \(H(\Pi,n)\). I
- Computing multidimensional persistence
- Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
- The Connection Matrix Theory for Morse Decompositions
- An Algorithmic Approach to Lattices and Order in Dynamics
- The Connection Matrix in Morse-Smale Flows
- Lyapunov maps, simplicial complexes and the Stone functor
- COMPUTATION OF CONNECTION MATRICES USING THE SOFTWARE PACKAGE conley
- The Continuation Theory for Morse Decompositions and Connection Matrices
- Connected Simple Systems and The Conley Index of Isolated Invariant Sets
- Connecting orbits in one-parameter families of flows
- A Fixed Point Approach to Homological Perturbation Theory
- Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
- Algebraic transition matrices in the Conley index theory
- Dynamical systems, shape theory and the Conley index
- Global Asymptotic Dynamics of Gradient-Like Bistable Equations
- Algebraic Morse theory and homological perturbation theory
- Stratifying Multiparameter Persistent Homology
- Transition matrix theory
- Differentiable dynamical systems
- On the global dynamics of attractors for scalar delay equations
- Morse theory from an algebraic viewpoint
- Combinatorial algebraic topology
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