---
res:
  bibo_abstract:
  - The chaotic dynamics of low-dimensional systems, such as Lorenz or Rössler flows,
    is guided by the infinity of periodic orbits embedded in their strange attractors.
    Whether this is also the case for the infinite-dimensional dynamics of Navier–Stokes
    equations has long been speculated, and is a topic of ongoing study. Periodic
    and relative periodic solutions have been shown to be involved in transitions
    to turbulence. Their relevance to turbulent dynamics – specifically, whether periodic
    orbits play the same role in high-dimensional nonlinear systems like the Navier–Stokes
    equations as they do in lower-dimensional systems – is the focus of the present
    investigation. We perform here a detailed study of pipe flow relative periodic
    orbits with energies and mean dissipations close to turbulent values. We outline
    several approaches to reduction of the translational symmetry of the system. We
    study pipe flow in a minimal computational cell at   Re=2500, and report a library
    of invariant solutions found with the aid of the method of slices. Detailed study
    of the unstable manifolds of a sample of these solutions is consistent with the
    picture that relative periodic orbits are embedded in the chaotic saddle and that
    they guide the turbulent dynamics.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Nazmi B
      foaf_name: Budanur, Nazmi B
      foaf_surname: Budanur
      foaf_workInfoHomepage: http://www.librecat.org/personId=3EA1010E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0003-0423-5010
  - foaf_Person:
      foaf_givenName: Kimberly
      foaf_name: Short, Kimberly
      foaf_surname: Short
  - foaf_Person:
      foaf_givenName: Mohammad
      foaf_name: Farazmand, Mohammad
      foaf_surname: Farazmand
  - foaf_Person:
      foaf_givenName: Ashley
      foaf_name: Willis, Ashley
      foaf_surname: Willis
  - foaf_Person:
      foaf_givenName: Predrag
      foaf_name: Cvitanović, Predrag
      foaf_surname: Cvitanović
  bibo_doi: 10.1017/jfm.2017.699
  bibo_volume: 833
  dct_date: 2017^xs_gYear
  dct_identifier:
  - UT:000414641700001
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-1120
  dct_language: eng
  dct_publisher: Cambridge University Press@
  dct_title: Relative periodic orbits form the backbone of turbulent pipe flow@
...