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Description
1D maps
The period-doubling accumulation point in unimodal map of 4-th power.
For bimodal 1D maps - the limit of period-doubling on a special curve
in the parameter plane defined by the condition "extremum is mapped to
extremum". T-point appears as the terminal point of the Feigenbaum curve. This type of critical behavior is known after Chang, Wortis, Wright, and Fraser and Kapral.
More general systems
T-point may appear generically only in codimension 3. In some cases the
pseudo-tricritical behavior may occur, as an intermediate asymptotics.
RG equation
The fixed point
The orbital scaling factor
Critical multiplier
Relevant eigenvalues
Codimension
CoDim=3 (restr. 2)
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Codimension-2 example
Param. space arrangement and scaling with factors
Scaling coordinates
show enlarged figure
Codimension-3 example
 ,
tricritical point at
Codimension-3 example in 2D invertible map
 .
For D=0.3 the tricritical point is located at
show enlarged figure
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