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- W2019037836 abstract "We study the scaling behavior of points on the Feigenbaum attractor away from the peak. We label these points by ``CS sequences'' which are related to the binary representations on a Cantor set. [A ``CS sequence'' (``change''-``same'') is based on whether a term in an initial ``binary sequence'' changes from or remains the same as the previous term.] A periodic point on the attractor has an infinite CS sequence with cyclic ending. In the neighborhood of a period-N point, ${2}^{n}$ iterations lead asymptotically to a family of N universal functions and a new scaling parameter ensuremath{alpha}. We obtain the first few families of universal functions and their scale parameters both by direct iterations and by renormalization-group calculations." @default.
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- W2019037836 date "1986-06-01" @default.
- W2019037836 modified "2023-10-18" @default.
- W2019037836 title "Scaling and universal behavior on the bifurcation attractor" @default.
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- W2019037836 doi "https://doi.org/10.1103/physreva.33.4092" @default.
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