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Period-doubling critical behavior

FQ - Feigenbaum+Quasiperiodicity



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

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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Saratov group
of theoretical nonlinear
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