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

MSC:
37G99Local and nonlocal bifurcation theory
37G15Bifurcations of limit cycles and periodic orbits
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).
[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