{"paper":{"title":"Power law asymptotics in the creation of strange attractors in the quasi-periodically forced quadratic family","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Thomas Ohlson Timoudas","submitted_at":"2015-03-19T16:13:34Z","abstract_excerpt":"Let $\\Phi$ be a quasi-periodically forced quadratic map, where the rotation constant $\\omega$ is a Diophantine irrational. A strange non-chaotic attractor (SNA) is an invariant (under $\\Phi$) attracting graph of a nowhere continuous measurable function $\\psi$ from the circle $\\mathbb{T}$ to $[0,1]$.\n  This paper investigates how a smooth attractor degenerates into a strange one, as a parameter $\\beta$ approaches a critical value $\\beta_0$, and the asymptotics behind the bifurcation of the attractor from smooth to strange. In our model, the cause of the strange attractor is a so-called torus co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05822","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"}