{"paper":{"title":"Characteristic Relations of Type-I Intermittency in the Presence of Noise","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"chao-dyn","authors_text":"Chil-Min Kim, Won-Ho Kye","submitted_at":"1999-12-13T04:35:31Z","abstract_excerpt":"Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show that the scaling relation of the laminar length is dramatically deformed from $\\frac{1}{\\sqrt{\\epsilon}}$ for $\\epsilon >0$ to $\\exp\\{\\frac{1}{D}|\\epsilon|^{3/2}\\}$ for $\\epsilon<0$ as $\\epsilon$ passes the bifurcation point $(\\epsilon=0)$. The results explain why two coupled R\\\"ossler oscillators exhibit deformation of the scaling relation of the synchronous length in the nearly synchronous regim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9912019","kind":"arxiv","version":2},"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"}