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Description
1D map
The period-doubling accumulation point in unimodal map of 6-th power.
For 1D maps with extremum and cubic inflection point - the limit of period-doubling
on a curve in the 3D parameter space defined by the condition "extremum
to iflection point" or vise versa.
More general systems
S-point appears generically in codimension 5, but the pseudo-S type may
occur, in codimension 3 as an intermediate asymptotics.
RG equation
The fixed point
The orbital scaling factor
Critical multiplier
Relevant eigenvalues
A
B
Codimension
CoDim=5 (restr. 3)
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Codimension-3 example (SA type)
Parameter space scaling with factors
Scaling coordinates
show enlarged figure
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