@article{19730,
  abstract     = {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.},
  author       = {Wang, Baoying and Ayats López, Roger and Deguchi, K. and Meseguer, A. and Mellibovsky, F.},
  issn         = {1469-7645},
  journal      = {Journal of Fluid Mechanics},
  publisher    = {Cambridge University Press},
  title        = {{Feigenbaum universality in subcritical Taylor-Couette flow}},
  doi          = {10.1017/jfm.2025.278},
  volume       = {1010},
  year         = {2025},
}

@article{19732,
  abstract     = {The transition to chaos in the subcritical regime of counter-rotating Taylor–Couette flow is investigated using a minimal periodic domain capable of sustaining coherent structures. Following a Feigenbaum cascade, the dynamics is found to be remarkably well approximated by a simple discrete map that admits rigorous proof of its chaotic nature. The chaotic set that arises for the map features densely distributed periodic points that are in one-to-one correspondence with unstable periodic orbits (UPOs) of the Navier–Stokes system. This supports the increasingly accepted view that UPOs may serve as the backbone of turbulence and, indeed, we demonstrate that it is possible to reconstruct every statistical property of chaotic fluid flow from UPOs.},
  author       = {Wang, Baoying and Ayats López, Roger and Deguchi, K. and Meseguer, A. and Mellibovsky, F.},
  issn         = {1469-7645},
  journal      = {Journal of Fluid Mechanics},
  publisher    = {Cambridge University Press},
  title        = {{Mathematically established chaos and forecast of statistics with recurrent patterns in Taylor-Couette flow}},
  doi          = {10.1017/jfm.2025.151},
  volume       = {1011},
  year         = {2025},
}