{"paper":{"title":"Global bifurcation diagram for the Kerner-Konhauser traffic flow model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Joaquin Delgado, Patricia Saavedra","submitted_at":"2013-11-17T05:32:03Z","abstract_excerpt":"We study traveling wave solutions of the Kerner--Konh\\\"auser PDE for traffic flow. By a standard change of variables, the problem is reduced to a dynamical system in the plane with three parameters. In a previous paper (Carrillo, F.A., J. Delgado, P. Saavedra, R.M. Velasco and F. Verduzco, (2013). Traveling waves, catastrophes and bifurcations in a generic second order traffic flow model --to appear in \\textit{International Journal of Bifurcation and Chaos}--, it was shown that under general hypotheses on the fundamental diagram, the dynamical system has a surface of critical points showing ei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4119","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}