{"slug":"paper-feigenbaum-m-j-1978-quantitative-universality-for-a-class-of-nonlinear-transform","verification":{"valid":true,"entries":1,"head":"45c9781391af1fc002acb313afe0419f6be484ea112c1844a05d8da8eede8ce2"},"count":1,"sources":[{"id":"s1","type":"other","url":"https://sites.math.rutgers.edu/~zeilberg/Bio21/MF78.pdf","title":"Quantitative universality for a class of nonlinear transformations","quote":"A large class of recursion relations x_{n+1} = λ f(x_n) exhibiting infinite bifurcation is shown to possess a rich quantitative structure essentially independent of the recursion function. ... rescaling in successive bifurcations, asymptotically by the ratio α (α = 2.5029078750957... for z = 2). ... δ = 4.669201609103...","summary":"Primary 1978 paper establishing Feigenbaum constants α and δ via renormalization of iterated maps.","claim_ids":["c1","c2","c3","c4"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T11:45:45.380Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"45c9781391af1fc002acb313afe0419f6be484ea112c1844a05d8da8eede8ce2"}]}