78 citations · 176 across the 18 of their papers we have counts for
4 papers · 1 filter
Discretization strategies for computing Conley indices and Morse decompositions of flows
Konstantin Mischaikow, Marian Mrozek, Frank Weilandt
Conley indices and Morse decompositions of flows can be found by using algorithms which rigorously analyze discrete dynamical systems. This usually involves integrating a time disc…
Weak index pairs and the Conley index for discrete multivalued dynamical systems
Bogdan Batko, Marian Mrozek
Motivated by the problem of reconstructing dynamics from samples we revisit the Conley index theory for discrete multivalued dynamical systems. We introduce a new, less restrictive…
Fundamental Group Algorithm for low dimensional tessellated CW complexes
P. Brendel, G. Ellis, M. Juda +1
We present a detailed description of a fundamental group algorithm based on Forman's combinatorial version of Morse theory. We use this algorithm in a classification problem of pri…
Conley-Morse-Forman theory for combinatorial multivector fields
Marian Mrozek
We introduce combinatorial multivector fields, associate with them multivalued dynamics and study their topological features. Our combinatorial multivector fields generalize combin…