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Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series

This story is from 2026-08-24. It is preserved in the archive; the latest stories are on the live feed.

arXiv:2603.27395v2 Announce Type: replace-cross Abstract: We propose a topological framework for detecting Hopf-type dynamical transitions directly from scalar time series. The method combines delay-coordinate reconstruction with persistent homology and uses the maximum persistence of one-dimension…

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  1. 2026-08-24 04:00 · arXiv stat.ML
    Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series

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