{"abstract":[{"lang":"eng","text":"In shear flows at transitional Reynolds numbers, localized patches of turbulence, known as puffs, coexist with the laminar flow. Recently, Avila et al. (Phys. Rev. Lett., vol. 110, 2013, 224502) discovered two spatially localized relative periodic solutions for pipe flow, which appeared in a saddle-node bifurcation at low Reynolds number. Combining slicing methods for continuous symmetry reduction with Poincaré sections for the first time in a shear flow setting, we compute and visualize the unstable manifold of the lower-branch solution and show that it extends towards the neighbourhood of the upper-branch solution. Surprisingly, this connection even persists far above the bifurcation point and appears to mediate the first stage of the puff generation: amplification of streamwise localized fluctuations. When the state-space trajectories on the unstable manifold reach the vicinity of the upper branch, corresponding fluctuations expand in space and eventually take the usual shape of a puff."}],"month":"08","publication_identifier":{"issn":["00221120"]},"doi":"10.1017/jfm.2017.516","main_file_link":[{"url":"https://arxiv.org/abs/1703.10484","open_access":"1"}],"isi":1,"_id":"824","oa_version":"Submitted Version","status":"public","volume":827,"publication":"Journal of Fluid Mechanics","citation":{"mla":"Budanur, Nazmi B., and Björn Hof. “Heteroclinic Path to Spatially Localized Chaos in Pipe Flow.” <i>Journal of Fluid Mechanics</i>, vol. 827, R1, Cambridge University Press, 2017, doi:<a href=\"https://doi.org/10.1017/jfm.2017.516\">10.1017/jfm.2017.516</a>.","apa":"Budanur, N. B., &#38; Hof, B. (2017). Heteroclinic path to spatially localized chaos in pipe flow. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/jfm.2017.516\">https://doi.org/10.1017/jfm.2017.516</a>","ieee":"N. B. Budanur and B. Hof, “Heteroclinic path to spatially localized chaos in pipe flow,” <i>Journal of Fluid Mechanics</i>, vol. 827. Cambridge University Press, 2017.","ama":"Budanur NB, Hof B. Heteroclinic path to spatially localized chaos in pipe flow. <i>Journal of Fluid Mechanics</i>. 2017;827. doi:<a href=\"https://doi.org/10.1017/jfm.2017.516\">10.1017/jfm.2017.516</a>","chicago":"Budanur, Nazmi B, and Björn Hof. “Heteroclinic Path to Spatially Localized Chaos in Pipe Flow.” <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2017. <a href=\"https://doi.org/10.1017/jfm.2017.516\">https://doi.org/10.1017/jfm.2017.516</a>.","short":"N.B. Budanur, B. Hof, Journal of Fluid Mechanics 827 (2017).","ista":"Budanur NB, Hof B. 2017. Heteroclinic path to spatially localized chaos in pipe flow. Journal of Fluid Mechanics. 827, R1."},"day":"18","title":"Heteroclinic path to spatially localized chaos in pipe flow","date_created":"2018-12-11T11:48:42Z","author":[{"first_name":"Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","full_name":"Budanur, Nazmi B","orcid":"0000-0003-0423-5010","last_name":"Budanur"},{"first_name":"Björn","last_name":"Hof","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","full_name":"Hof, Björn"}],"intvolume":"       827","scopus_import":"1","type":"journal_article","article_number":"R1","article_processing_charge":"No","publication_status":"published","department":[{"_id":"BjHo"}],"date_updated":"2023-09-26T16:17:43Z","publisher":"Cambridge University Press","year":"2017","date_published":"2017-08-18T00:00:00Z","external_id":{"isi":["000408326300001"]},"publist_id":"6824","oa":1,"quality_controlled":"1","language":[{"iso":"eng"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"}