Description
1D maps
The perioddoubling accumulation point in unimodal map of 4th power.
For bimodal 1D maps  the limit of perioddoubling on a special curve
in the parameter plane defined by the condition "extremum is mapped to
extremum". Tpoint 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
Tpoint may appear generically only in codimension 3. In some cases the
pseudotricritical 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)

Codimension2 example
Param. space arrangement and scaling with factors
Scaling coordinates
show enlarged figure
Codimension3 example
,
tricritical point at
Codimension3 example in 2D invertible map
.
For D=0.3 the tricritical point is located at
show enlarged figure
