Given two 2D attractors, for example two Clifford Attractors, is it possible to combine them in an attractor in 4D? For example something of the form: $x_{n+1} = \sin(a y_n) + c \cos(a x_n)$, $y_{n+1} = \sin(b x_n) + d \cos(b y_n)$, $w_{n+1} = \sin(a z_n) + c \cos(a w_n)$, $z_{n+1} = \sin(b w_n) + d \cos(b z_n)$ is a 4D attractor?
From the definition (https://en.wikipedia.org/wiki/Attractor#Mathematical_definition) I am not sure such an equation would satisfy the third condition.
Alternatively, could you recommend attractors in 4D (or more) with explicit equations?