2 papers
cs.LG2026
Topological descriptors of foot clearance gait dynamics improve differential diagnosis of Parkinsonism
Jhonathan Barrios, Wolfram Erlhagen, Miguel F. Gago +2
Differential diagnosis among parkinsonian syndromes remains a clinical challenge due to overlapping motor symptoms and subtle gait abnormalities. Accurate differentiation is crucia…
math.DS2026
Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series
Jhonathan Barrios, Yásser Echávez, Carlos F. Álvarez
We propose a topological framework for detecting Hopf-type dynamical transitions directly from scalar time series. The method combines delay-coordinate reconstruction with persiste…