Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems
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Publication:4637234
DOI10.1007/978-3-319-53426-8_7zbMath1387.34112OpenAlexW2600535300MaRDI QIDQ4637234
Firas A. Khasawneh, Elizabeth Munch
Publication date: 18 April 2018
Published in: Advances in Delays and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-53426-8_7
time seriesMathieu's equationtopological data analysisHayes equationstability of stochastic delay equations
Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Time series analysis of dynamical systems (37M10)
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Stochastic semidiscretization method: second moment stability analysis of linear stochastic periodic dynamical systems with delays ⋮ ANAPT: additive noise analysis for persistence thresholding ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Classifying sleep states using persistent homology and Markov chains: a pilot study
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