Detecting phase transitions in collective behavior using manifold's curvature

DOI10.3934/MBE.2017027zbMath1355.82030arXiv1509.07078OpenAlexW3101128276WikidataQ39159843 ScholiaQ39159843MaRDI QIDQ335289

Erik M. Bollt, Kelum Gajamannage

Publication date: 2 November 2016

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07078

zbMATH Keywords

manifoldphase transitioncurvaturedimensionality reductioncollective behavior

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Applications of local differential geometry to the sciences (53B50) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre

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