78 citations · 176 across the 18 of their papers we have counts for
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Morse predecomposition of an ivariant set
Michał Lipiński, Konstantin Mischaikow, Marian Mrozek
Motivated by the study of the recurrent orbits in a Morse set of a Morse decomposition, we introduce the concept of Morse predecomposition of an isolated invariant set in the setti…
Conley index for multivalued maps on finite topological spaces
Jonathan Barmak, Marian Mrozek, Thomas Wanner
We develop Conley's theory for multivalued maps on finite topological spaces. More precisely, for discrete-time dynamical systems generated by the iteration of a multivalued map wh…
Computing Connection Matrices via Persistence-like Reductions
Tamal K. Dey, Michał Lipiński, Marian Mrozek +1
Connection matrices are a generalization of Morse boundary operators from the classical Morse theory for gradient vector fields. Developing an efficient computational framework for…