We are working on a chaotic map.

The map completely continues and differentiable map with the following structure:

X_n+1 = f(X_n,Y_n)

Y_n+1 = g(X_n,Y_n)

When we plot the bifurcation diagram, instead of usual period doubling, we encounter a kind of strange period adding: 1-->3-->10-->25-->…

You can find the bifurcation diagram in the attached picture. Can anyone tell us what phenomenon is this? Does anyone know about something similar?

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