activity
19952023
most citedCAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems

78 citations · 176 across the 18 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.DS2018★ 8 cited

A Lefschetz fixed point theorem for multivalued maps of finite spaces

Jonathan Ariel Barmak, Marian Mrozek, Thomas Wanner

We prove a version of the Lefschetz fixed point theorem for multivalued maps in which is a finite space.

math.AT2018

Persistent Homology of Morse Decompositions in Combinatorial Dynamics

Tamal K. Dey, Mateusz Juda, Tomasz Kapela +3

We investigate combinatorial dynamical systems on simplicial complexes considered as {\em finite topological spaces}. Such systems arise in a natural way from sampling dynamics and…