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The universal metric properties of nonlinear transformations. (English) Zbl 0515.58028


MSC:

37G99 Local and nonlocal bifurcation theory for dynamical systems
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
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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
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