# The surface of Aizawa attractor

Aizawa attractor creates a closed surface. Let's ignore the transient state in the beginning. I am wondering how to calculate its surface? I even don't know where to start.

The dynamic model of Aizawa attractor is \begin{align} \begin{cases} \dot{x} = (z-b)x-dy\\ \dot{y} = dx+(z-b)y \\ \dot{z} = c+az-\frac13 z^3-(x^2+y^2) (1+e z)+f z x^3\\ \end{cases} \end{align}

Though, it is preferred that the general form of problem is solved, a special case of the parameters is