11 citations · 12 across the 5 of their papers we have counts for
4 papers · 1 filter
Linear Relations of Finite Length Modules are Shift Equivalent to Maps
Bartosz Furmanek, Filip Oskar Łanecki, Mateusz Przybylski +1
Linear relations, defined as submodules of the direct sum of two modules, can be viewed as objects that carry dynamical information and reflect the inherent uncertainty of sampled…
A Complete Invariant for Shift Equivalence for Boolean Matrices and Finite Relations
Ethan Akin, Marian Mrozek, Mateusz Przybylski +1
We give a complete invariant for shift equivalence for Boolean matrices (equivalently finite relations), in terms of the period, the induced partial order on recurrent components,…
The Szymczak Functor on the Category of Finite Sets and Finite Relations
Mateusz Przybylski, Marian Mrozek, Jim Wiseman
The Szymczak functor is a tool used to construct the Conley index for dynamical systems with discrete time. We present an algorithmizable classification of isomorphism classes in t…
Conley index approach to sampled dynamics
Bogdan Batko, Konstantin Mischaikow, Marian Mrozek +1
The topological method for the reconstruction of dynamics from time series [K. Mischaikow, M. Mrozek, J. Reiss, A. Szymczak. Construction of Symbolic Dynamics from Experimental Tim…