Topics: Topological Conjugate. Please see topics topological conjugate.

It is assumed that terms like mabrot, nova, zcLogisticMap, zcNova are known from this website.

New is blueBlueDouble: blueBlueDouble(z) = sqrt((z^4+1)/z^2).
A none standard function is: sigmoid(z) = z/sqrt(1.0 + z^2), sigmoidInv(z) = z/sqrt(1.0 - z^2).

For the interested: the file name of the picture contains information about outer scale, inner scale, conjugate-method.
Disclaimer: I have not put all of the mathematical information into the table, but into the file name, assuming it is not necessary for most.

Clicking on the thumbnail image, a large version is shown.
nova

s=1.0
nova

s=1.0
nova

s=1.0
zcLogisticMap

s=0.35572486
xNova

s=1.5
zcDumbbell

s=1.04542476
\(\mathbf{\bf\: h = z^2}\)
\(\mathbf{\bf\: h = z^2}\)
\(\mathbf{\bf\: h = \sqrt{z}}\)
\(\mathbf{\bf\: h = acos(z)}\)
\(\mathbf{\bf\: h = acosh(z)}\)
\(\mathbf{\bf\: h = acosh(z)}\)
zcLogisticMap

s=2.059599
mabrot

s=1.0
mabrot

s=0.0
nova

s=1.175191
mabrot

s=0.0
nova

s=0.0
\(\mathbf{\bf\: h = acsc(z)}\)
\(\mathbf{\bf\: h = asec(z)}\)
\(\mathbf{\bf\: h = asin(z)}\)
\(\mathbf{\bf\: h = asinh(z)}\)
\(\mathbf{\bf\: h = atan(z)}\)
\(\mathbf{\bf\: h = exp(z)}\)
blueBlueDouble

s=0.36789
zcLogisticMap

s=1.648718
zcSand

s=7.389056099
xNova

s=0.367871
zcNova

s=0.0
moon

s=1.7
\(\mathbf{\bf\: h = log(z)}\)
\(\mathbf{\bf\: h = log(z)}\)
\(\mathbf{\bf\: h = log(z)}\)
\(\mathbf{\bf\: h = log(z)}\)
\(\mathbf{\bf\: h = sigmoid(z)}\)
\(\mathbf{\bf\: h = \sqrt{z}}\)