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Period-doubling critical behavior

C - Cycle of the RG equations

alphabet


Description

Non-invertible 2D maps with fold singularity, flow systems of dimension 4 and more.

RG equations

Period-2 cycle

The orbital scaling factors

Critical multipliers

Relevant eigenvalues

Irrelevant

(close to 1!)

Codimension
CoDim=2 (restr. 2)

Basic model

at b=-0.6663:

 

Scaling of the parameter plane with factors

Scaling coordinates


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Critical quasiattractor
An infinite set of stable cycles of period 4k


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Saratov group
of theoretical nonlinear
dynamics
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