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• W2896542238 abstract "The connection matrix is a powerful algebraic topological tool from Conley index theory, a subfield of topological dynamics. Conley index theory is a purely topological generalization of Morse theory in which the connection matrix subsumes the role of the Morse boundary operator. Over the last few decades, Conley’s approach to dynamics has been cast into a purely computational form. In this paper we introduce a computational and categorical framework for connection matrix theory. Broadly speaking, this contribution promotes the computational Conley theory to a computational, homological theory for dynamical systems. More specifically, within this paper we have three specific aims:" @default.
• W2896542238 created "2018-10-26" @default.
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• W2896542238 date "2021-05-31" @default.
• W2896542238 modified "2023-10-16" @default.
• W2896542238 title "A computational framework for connection matrix theory" @default.
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• W2896542238 doi "https://doi.org/10.1007/s41468-021-00073-3" @default.
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