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math.AT2026
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3
By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…
math.AT2024★ 2 cited
Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities
Sunia Tanweer, Firas A. Khasawneh
Phenomenological (P-type) bifurcations are qualitative changes in stochastic dynamical systems whereby the stationary probability density function (PDF) changes its topology. The c…