Feigenbaum universality in subcritical Taylor-Couette flow Wang, Baoying ; https://orcid.org/0000-0002-6229-0336 Ayats López, Roger ; https://orcid.org/0000-0001-6572-0621 Deguchi, K. Meseguer, A. Mellibovsky, F. ddc:530 Feigenbaum universality is shown to occur in subcritical shear flows. Our testing ground is the counter-rotation regime of the Taylor–Couette flow, where numerical calculations are performed within a small periodic domain. The accurate computation of up to the seventh period-doubling bifurcation, assisted by a purposely defined Poincaré section, has enabled us to reproduce the two Feigenbaum universal constants with unprecedented accuracy in a fluid flow problem. We have further devised a method to predict the bifurcation diagram up to the accumulation point of the cascade based on the detailed inspection of just the first few period-doubling bifurcations. Remarkably, the method is applicable beyond the accumulation point, with predictions remaining valid, in a statistical sense, for the chaotic dynamics that follows. Cambridge University Press 2025 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/19730 https://research-explorer.ista.ac.at/download/19730/19752 Wang B, Ayats López R, Deguchi K, Meseguer A, Mellibovsky F. Feigenbaum universality in subcritical Taylor-Couette flow. <i>Journal of Fluid Mechanics</i>. 2025;1010. doi:<a href="https://doi.org/10.1017/jfm.2025.278">10.1017/jfm.2025.278</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1017/jfm.2025.278 info:eu-repo/semantics/altIdentifier/issn/0022-1120 info:eu-repo/semantics/altIdentifier/e-issn/1469-7645 info:eu-repo/semantics/altIdentifier/wos/001487354900001 info:eu-repo/semantics/openAccess