article published yes Baoying Wang author df755ffe-735a-11ee-bb55-dff29d61d3380000-0002-6229-0336 Roger Ayats López author ab77522d-073b-11ed-8aff-e71b392583620000-0001-6572-0621 K. Deguchi author A. Meseguer author F. Mellibovsky author BjHo department IST-BRIDGE: International postdoctoral program project Pattern Formation Mechanisms in Planar Shear Flows project 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. https://research-explorer.ista.ac.at/download/19730/19752/2025_JourFluidMech_Wang.pdf application/pdfno Cambridge University Press2025 eng 0022-1120 1469-7645 00148735490000110.1017/jfm.2025.278 1010 Wang, Baoying, et al. “Feigenbaum Universality in Subcritical Taylor-Couette Flow.” <i>Journal of Fluid Mechanics</i>, vol. 1010, A36, Cambridge University Press, 2025, doi:<a href="https://doi.org/10.1017/jfm.2025.278">10.1017/jfm.2025.278</a>. Wang, Baoying, Roger Ayats López, K. Deguchi, A. Meseguer, and F. Mellibovsky. “Feigenbaum Universality in Subcritical Taylor-Couette Flow.” <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2025. <a href="https://doi.org/10.1017/jfm.2025.278">https://doi.org/10.1017/jfm.2025.278</a>. 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> Wang B, Ayats López R, Deguchi K, Meseguer A, Mellibovsky F. 2025. Feigenbaum universality in subcritical Taylor-Couette flow. Journal of Fluid Mechanics. 1010, A36. B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, and F. Mellibovsky, “Feigenbaum universality in subcritical Taylor-Couette flow,” <i>Journal of Fluid Mechanics</i>, vol. 1010. Cambridge University Press, 2025. B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, F. Mellibovsky, Journal of Fluid Mechanics 1010 (2025). Wang, B., Ayats López, R., Deguchi, K., Meseguer, A., &#38; Mellibovsky, F. (2025). Feigenbaum universality in subcritical Taylor-Couette flow. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2025.278">https://doi.org/10.1017/jfm.2025.278</a> 197302025-05-25T22:16:48Z2025-09-30T12:39:05Z