Period-doubling critical behavior

FQ - Feigenbaum+Quasiperiodicity alphabet
Description Non-invertible 2D maps with singularity arising from projection of the Whitney umbrella, flow systems of dimension 4 and more, generally in 3-parameter analysis. RG equation The fixed-point solution The orbital scaling factors Critical multipliers Relevant eigenvalues Codimension CoDim=3 (restr. 2)	Basic model at d=0.3   Scaling of the parameter plane with factors Scaling coordinates show enlarged figure   Critical attractor Scaling coordinates show enlarged figure

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