32 citations · 32 across the 2 of their papers we have counts for
5 papers
A Comparison Framework for Interleaved Persistence Modules
Shaun Harker, Miroslav Kramar, Rachel Levanger +1
We present a generalization of the induced matching theorem and use it to prove a generalization of the algebraic stability theorem for -indexed pointwise finite-dimens…
Model rejection and parameter reduction via time series
Bree Cummins, Tomas Gedeon, Shaun Harker +1
We show how a graph algorithm for finding matching labeled paths in pairs of labeled directed graphs can be used to perform model validation for a class of dynamical systems includ…
Stability and Uniqueness of Slowly Oscillating Periodic Solutions to Wright's Equation
Jonathan Jaquette, Jean-Philippe Lessard, Konstantin Mischaikow
In this paper, we prove that Wright's equation has a unique slowly oscillating periodic solution (SOPS) for all parameter values ,…
Homological Characterizations of Spiral Defect Chaos in Rayleigh-Benard Convection
Kapilanjan Krishan, Marcio Gameiro, Konstantin Mischaikow +1
We use a quantitative topological characterization of complex dynamics to measure geometric structures. This approach is used to analyze the weakly turbulent state of spiral defect…
Homology and symmetry breaking in Rayleigh-Benard convection: Experiments and simulations
Kapilanjan Krishan, Huseyin Kurtuldu, Michael F. Schatz +2
Algebraic topology (homology) is used to analyze the weakly turbulent state of spiral defect chaos in both laboratory experiments and numerical simulations of Rayleigh-Benard conve…