--- res: bibo_abstract: - Over the past decade, the edge of chaos has proven to be a fruitful starting point for investigations of shear flows when the laminar base flow is linearly stable. Numerous computational studies of shear flows demonstrated the existence of states that separate laminar and turbulent regions of the state space. In addition, some studies determined invariant solutions that reside on this edge. In this paper, we study the unstable manifold of one such solution with the aid of continuous symmetry reduction, which we formulate here for the simultaneous quotiening of axial and azimuthal symmetries. Upon our investigation of the unstable manifold, we discover a previously unknown traveling-wave solution on the laminar-turbulent boundary with a relatively complex structure. By means of low-dimensional projections, we visualize different dynamical paths that connect these solutions to the turbulence. Our numerical experiments demonstrate that the laminar-turbulent boundary exhibits qualitatively different regions whose properties are influenced by the nearby invariant solutions.@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: Björn foaf_name: Hof, Björn foaf_surname: Hof foaf_workInfoHomepage: http://www.librecat.org/personId=3A374330-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0003-2057-2754 bibo_doi: 10.1103/PhysRevFluids.3.054401 bibo_issue: '5' bibo_volume: 3 dct_date: 2018^xs_gYear dct_identifier: - UT:000433426200001 dct_language: eng dct_publisher: American Physical Society@ dct_title: Complexity of the laminar-turbulent boundary in pipe flow@ ...