155 citations · 542 across the 36 of their papers we have counts for
4 papers · 1 filter
Inducing a map on homology from a correspondence
Shaun Harker, Hiroshi Kokubu, Konstantin Mischaikow +1
We study the homomorphism induced in homology by a closed correspondence between topological spaces, using projections from the graph of the correspondence to its domain and codoma…
Lattice Structures for Attractors II
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
The algebraic structure of the attractors in a dynamical system determine much of its global dynamics. The collection of all attractors has a natural lattice structure, and this st…
Topological data analysis of contagion maps for examining spreading processes on networks
Dane Taylor, Florian Klimm, Heather A. Harrington +4
Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however,…
Evolution of Force Networks in Dense Particulate Media
Miroslav Kramar, Arnaud Goullet, Lou Kondic +1
We introduce novel sets of measures with the goal of describing dynamical properties of force networks in dense particulate systems. The presented approach is based on persistent h…