78 citations · 176 across the 18 of their papers we have counts for
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math.NA2020★ 78 cited
CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems
Tomasz Kapela, Marian Mrozek, Daniel Wilczak +1
We present the CAPD::DynSys library for rigorous numerical analysis of dynamical systems. The basic interface is described together with several interesting case studies illustrati…
math.DS2020★ 2 cited
Creating Semiflows on Simplicial Complexes from Combinatorial Vector Fields
Marian Mrozek, Thomas Wanner
Combinatorial vector fields on simplicial complexes as introduced by Robin Forman have found numerous and varied applications in recent years. Yet, their relationship to classical…
math.AT2020
Persistence of the Conley Index in Combinatorial Dynamical Systems
Tamal K. Dey, Marian Mrozek, Ryan Slechta
A combinatorial framework for dynamical systems provides an avenue for connecting classical dynamics with data-oriented, algorithmic methods. Combinatorial vector fields introduced…