12 citations · 32 across the 5 of their papers we have counts for
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math.DS2017★ 12 cited
Linking combinatorial and classical dynamics: Conley index and Morse decompositions
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek +1
We prove that every combinatorial dynamical system in the sense of Forman, defined on a family of simplices of a simplicial complex, gives rise to a multivalued dynamical system F…
math.DS2017★ 7 cited
Weak index pairs and the Conley index for discrete multivalued dynamical systems. Part II: properties of the index
Bogdan Batko
Motivation to revisit the Conley index theory for discrete multivalued dynamical systems stems from the needs of broader real applications, in particular in sampled dynamics or in…