<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-04284992</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-21T06:12:41+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Direct Path from Turbulence to Time-Periodic Solutions</title>
            <author role="aut">
              <persName>
                <forename type="first">Chaitanya</forename>
                <surname>Paranjape</surname>
              </persName>
              <idno type="idhal" notation="numeric">1308094</idno>
              <idno type="halauthorid" notation="string">2596077-1308094</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-8779-1607</idno>
              <affiliation ref="#struct-115321"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Gökhan</forename>
                <surname>Yalnız</surname>
              </persName>
              <idno type="idhal" notation="numeric">1308095</idno>
              <idno type="halauthorid" notation="string">2953051-1308095</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8490-9312</idno>
              <affiliation ref="#struct-115321"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Yohann</forename>
                <surname>Duguet</surname>
              </persName>
              <email type="md5">69f5c75cf16fc40688fcb228a42c5935</email>
              <email type="domain">limsi.fr</email>
              <idno type="idhal" notation="string">yohann-duguet</idno>
              <idno type="idhal" notation="numeric">176593</idno>
              <idno type="halauthorid" notation="string">2523727-176593</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-6258-0475</idno>
              <idno type="IDREF">https://www.idref.fr/099738465</idno>
              <affiliation ref="#struct-1065304"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Nazmi Burak</forename>
                <surname>Budanur</surname>
              </persName>
              <idno type="idhal" notation="numeric">1308096</idno>
              <idno type="halauthorid" notation="string">2953052-1308096</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-0423-5010</idno>
              <affiliation ref="#struct-115321"/>
              <affiliation ref="#struct-132895"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Björn</forename>
                <surname>Hof</surname>
              </persName>
              <email type="md5">9da1b4ef805c8ac6556d8ee0007c1821</email>
              <email type="domain">ist.ac.at</email>
              <idno type="idhal" notation="numeric">1308097</idno>
              <idno type="halauthorid" notation="string">2088893-1308097</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-2057-2754</idno>
              <affiliation ref="#struct-115321"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Yohann</forename>
                <surname>Duguet</surname>
              </persName>
              <email type="md5">69f5c75cf16fc40688fcb228a42c5935</email>
              <email type="domain">limsi.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2025-01-06 09:52:09</date>
              <date type="whenModified">2025-03-21 03:15:38</date>
              <date type="whenReleased">2025-01-10 14:45:26</date>
              <date type="whenProduced">2023-07</date>
              <date type="whenEndEmbargoed">2025-01-06</date>
              <ref type="file" target="https://hal.science/hal-04284992v1/document">
                <date notBefore="2025-01-06"/>
              </ref>
              <ref type="file" subtype="greenPublisher" n="1" target="https://hal.science/hal-04284992v1/file/2306.05098v1.pdf" id="file-4865512-4230670">
                <date notBefore="2025-01-06"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2306.05098"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="26751">
                <persName>
                  <forename>Yohann</forename>
                  <surname>Duguet</surname>
                </persName>
                <email type="md5">69f5c75cf16fc40688fcb228a42c5935</email>
                <email type="domain">limsi.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04284992</idno>
            <idno type="halUri">https://hal.science/hal-04284992</idno>
            <idno type="halBibtex">paranjape:hal-04284992</idno>
            <idno type="halRefHtml">&lt;i&gt;Physical Review Letters&lt;/i&gt;, 2023, 131 (3), pp.034002. &lt;a target="_blank" href="https://dx.doi.org/10.1103/PhysRevLett.131.034002"&gt;&amp;#x27E8;10.1103/PhysRevLett.131.034002&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Physical Review Letters, 2023, 131 (3), pp.034002. &amp;#x27E8;10.1103/PhysRevLett.131.034002&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4865512-4230670"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="LISN">Laboratoire Interdisciplinaire des Sciences du Numérique</idno>
            <idno type="stamp" n="GS-COMPUTER-SCIENCE">Graduate School Computer Science</idno>
            <idno type="stamp" n="LISN-DATAFLOT" corresp="LISN">DAta science, TrAnsition, Fluid instabiLity, contrOl, Turbulence </idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Direct Path from Turbulence to Time-Periodic Solutions</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Chaitanya</forename>
                    <surname>Paranjape</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">1308094</idno>
                  <idno type="halauthorid" notation="string">2596077-1308094</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-8779-1607</idno>
                  <affiliation ref="#struct-115321"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Gökhan</forename>
                    <surname>Yalnız</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">1308095</idno>
                  <idno type="halauthorid" notation="string">2953051-1308095</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8490-9312</idno>
                  <affiliation ref="#struct-115321"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Yohann</forename>
                    <surname>Duguet</surname>
                  </persName>
                  <email type="md5">69f5c75cf16fc40688fcb228a42c5935</email>
                  <email type="domain">limsi.fr</email>
                  <idno type="idhal" notation="string">yohann-duguet</idno>
                  <idno type="idhal" notation="numeric">176593</idno>
                  <idno type="halauthorid" notation="string">2523727-176593</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-6258-0475</idno>
                  <idno type="IDREF">https://www.idref.fr/099738465</idno>
                  <affiliation ref="#struct-1065304"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Nazmi Burak</forename>
                    <surname>Budanur</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">1308096</idno>
                  <idno type="halauthorid" notation="string">2953052-1308096</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-0423-5010</idno>
                  <affiliation ref="#struct-115321"/>
                  <affiliation ref="#struct-132895"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Björn</forename>
                    <surname>Hof</surname>
                  </persName>
                  <email type="md5">9da1b4ef805c8ac6556d8ee0007c1821</email>
                  <email type="domain">ist.ac.at</email>
                  <idno type="idhal" notation="numeric">1308097</idno>
                  <idno type="halauthorid" notation="string">2088893-1308097</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-2057-2754</idno>
                  <affiliation ref="#struct-115321"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">17980</idno>
                <idno type="issn">0031-9007</idno>
                <idno type="eissn">1079-7114</idno>
                <title level="j">Physical Review Letters</title>
                <imprint>
                  <publisher>American Physical Society</publisher>
                  <biblScope unit="volume">131</biblScope>
                  <biblScope unit="issue">3</biblScope>
                  <biblScope unit="pp">034002</biblScope>
                  <date type="datePub">2023-07</date>
                </imprint>
              </monogr>
              <idno type="arxiv">2306.05098</idno>
              <idno type="doi">10.1103/PhysRevLett.131.034002</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="nlin">Nonlinear Sciences [physics]</classCode>
              <classCode scheme="halDomain" n="spi">Engineering Sciences [physics]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to high-dimensional motion can be rationalized within the framework of the Navier-Stokes equations is not well understood. Exploiting geometrical properties of transitional channel flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible and identify the complete path that reversibly links fully turbulent motion to an invariant solution. This precursor of turbulence destabilizes rapidly with Re, and the accompanying explosive increase in attractor dimension effectively marks the transition between deterministic and de facto stochastic dynamics.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-115321" status="VALID">
          <orgName>Institute of Science and Technology [Klosterneuburg, Austria]</orgName>
          <orgName type="acronym">IST Austria</orgName>
          <desc>
            <address>
              <addrLine>IST Austria Am Campus 1 3400 Klosterneuburg Austria</addrLine>
              <country key="AT"/>
            </address>
            <ref type="url">http://www.ist.ac.at/</ref>
          </desc>
        </org>
        <org type="researchteam" xml:id="struct-1065304" status="VALID">
          <orgName>DAtascience, trAnsition, Fluid instability, contrOl, Turbulence   LISN</orgName>
          <orgName type="acronym">DATAFLOT</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <addrLine>Université Paris-Saclay, Bâtiment 507, 91405 Orsay Cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1061259" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation active="#struct-419361" type="indirect"/>
            <relation name="UMR9015" active="#struct-441569" type="indirect"/>
            <relation active="#struct-1065370" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-132895" status="VALID">
          <orgName>Max Planck Institute for the Physics of Complex Systems</orgName>
          <orgName type="acronym">MPI-PKS</orgName>
          <desc>
            <address>
              <addrLine>Noethnitzer Str. 38,  01187 Dresden</addrLine>
              <country key="DE"/>
            </address>
            <ref type="url">https://www.pks.mpg.de/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-5247" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1061259" status="VALID">
          <idno type="IdRef">253160316</idno>
          <idno type="RNSR">202123711L</idno>
          <idno type="ROR">https://ror.org/00rd81916</idno>
          <idno type="Wikidata">Q109620676</idno>
          <orgName>Laboratoire Interdisciplinaire des Sciences du Numérique</orgName>
          <orgName type="acronym">LISN</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <addrLine>Campus Universitaire bât 507Rue du Belvédère91405 Orsay cedexet Campus Universitaire bât 6401 rue Raimond Castaing91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.lisn.upsaclay.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UMR9015" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-419361" status="VALID">
          <idno type="IdRef">241345251</idno>
          <idno type="ROR">https://ror.org/03xjwb503</idno>
          <orgName>Université Paris-Saclay</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment Bréguet, 3 Rue Joliot Curie 2e ét, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-1065370" status="VALID">
          <orgName>Mécanique-Energétique</orgName>
          <orgName type="acronym">M.-E.</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1061259" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation active="#struct-419361" type="indirect"/>
            <relation name="UMR9015" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-5247" status="VALID">
          <orgName>Max-Planck-Gesellschaft</orgName>
          <desc>
            <address>
              <addrLine>Jägerstrasse, 10-11, D-10117 Berlin</addrLine>
              <country key="DE"/>
            </address>
            <ref type="url">https://www.mpg.de/en</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>