Feigenbaum, Mitchell J. The universal metric properties of nonlinear transformations. (English) Zbl 0515.58028 J. Stat. Phys. 21, 669-706 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 211 Documents MSC: 37G99 Local and nonlocal bifurcation theory for dynamical systems 37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems Keywords:recurrence; conjugacy; period-doubling bifurcations; stable cycles; renormalization techniques Citations:Zbl 0509.58037; Zbl 0456.58016 PDFBibTeX XMLCite \textit{M. J. Feigenbaum}, J. Stat. Phys. 21, 669--706 (1979; Zbl 0515.58028) Full Text: DOI Online Encyclopedia of Integer Sequences: Decimal expansion of Feigenbaum’s constant 0.399535... References: [1] Mitchell J. Feigenbaum,J. Stat. Phys. 19:25 (1978). · Zbl 0509.58037 · doi:10.1007/BF01020332 [2] P. Collet, J.-P. Eckmann, and O. E. Lanford III, Universal Properties of Maps on an Interval, in draft. [3] P. Collet and J.-P. Eckmann, Bifurcations et Groupe de Renormalisation, IHES/P/78/250. [4] B. Derrida, A. Gervois, and Y. Pomeau, Universal Metric Properties of Bifurcations of Endomorphisms, Saclay preprint (1977). [5] B. Derrida, A. Gervois, and Y. Pomeau, Iterations of Endomorphisms on the Real Axis and Representation of Numbers, Saclay preprint (1977). · Zbl 0416.28012 [6] N. Metropolis, M. L. Stein, and P. R. Stein,J. Combinatorial Theory 15:25 (1973). · Zbl 0259.26003 · doi:10.1016/0097-3165(73)90033-2 [7] K. Wilson and J. Kogut,Phys. Rep. 12C:75 (1974). · doi:10.1016/0370-1573(74)90023-4 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.