---
OA_place: publisher
OA_type: hybrid
_id: '19730'
abstract:
- lang: eng
  text: 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.
acknowledgement: This research is supported by the Australian Research Council Discovery
  Project DP230102188 and the Ministerio de Ciencia, Innovación y Universidades (Agencia
  Estatal de Investigación, project nos. PID 2020–114043 GB-I00 (MCIN/AEI/10.13039/501100011033)
  and PID 2023–150029NB-I00 (MCIN/AEI/10.13039/501100011033/FEDER, UE). B.W.’s and
  R.A.’s research has been funded by the European Union’s Horizon 2020 research and
  innovation programme (Marie Skłodowska-Curie Grant Agreement No. 101034413). R.A.
  has also been funded by the Austrian Science Fund (FWF) 10.55776/ESP1481224.
article_number: A36
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Baoying
  full_name: Wang, Baoying
  id: df755ffe-735a-11ee-bb55-dff29d61d338
  last_name: Wang
  orcid: 0000-0002-6229-0336
- first_name: Roger
  full_name: Ayats López, Roger
  id: ab77522d-073b-11ed-8aff-e71b39258362
  last_name: Ayats López
  orcid: 0000-0001-6572-0621
- first_name: K.
  full_name: Deguchi, K.
  last_name: Deguchi
- first_name: A.
  full_name: Meseguer, A.
  last_name: Meseguer
- first_name: F.
  full_name: Mellibovsky, F.
  last_name: Mellibovsky
citation:
  ama: 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>
  apa: 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>
  chicago: 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>.
  ieee: 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.
  ista: 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.
  mla: 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>.
  short: B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, F. Mellibovsky, Journal
    of Fluid Mechanics 1010 (2025).
date_created: 2025-05-25T22:16:48Z
date_published: 2025-05-14T00:00:00Z
date_updated: 2025-09-30T12:39:05Z
day: '14'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1017/jfm.2025.278
ec_funded: 1
external_id:
  isi:
  - '001487354900001'
file:
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  creator: dernst
  date_created: 2025-05-28T08:32:33Z
  date_updated: 2025-05-28T08:32:33Z
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has_accepted_license: '1'
intvolume: '      1010'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 942a0200-16d5-11f0-9cad-f48ab22dfd1c
  grant_number: ESP 1481224
  name: Pattern Formation Mechanisms in Planar Shear Flows
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Feigenbaum universality in subcritical Taylor-Couette flow
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 1010
year: '2025'
...