A Precise Calculation of the Feigenbaum Constants
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Publication:3974541
DOI10.2307/2938684zbMath0744.58053OpenAlexW4229571345MaRDI QIDQ3974541
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2938684
bifurcationFeigenbaum constantsasymptotically periodic sequenceFeigenbaum functional equation iterationstable \(p\)-cycle
Topological dynamics (37B99) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18) Evaluation of number-theoretic constants (11Y60) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (7)
New universal bifurcation scenario in one-dimensional trimodal maps ⋮ A note on the evaluation of Feigenbaum's \(\delta\)s via a direct method ⋮ Corrections to universal scaling in real maps ⋮ Systematic search for wide periodic windows and bounds for the set of regular parameters for the quadratic map ⋮ Reducible expansions and related sharp crossovers in Feigenbaum’s renormalization field ⋮ Statistical analysis of the first digits of the binary expansion of Feigenbaum constants \(\alpha\) and \(\delta\) ⋮ Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4
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