Is there a full classification of the phase portraits of the following systems of differential equations

1. $$ \dot x=a_{11}x+a_{12}y+a_{13}z, \dot y=a_{2 1}x+a_{22}y+a_{23}z, \dot z=a_{31}x+a_{32}y+a_{33}z. $$

and

2. $$ \dot x=f(x,y), \dot y=g(x,y)? $$ Here $f(x,y), g(x,y)$ are polynomials of the degree 3.

Please, provide any reference.

Is there a full classification of the phase portraits of the following systems of differential equations

\begin{equation} \cases{ \dot x=a_{11}x+a_{12}y+a_{13}z \\ \dot y=a_{2 1}x+a_{22}y+a_{23}z\\ \dot z=a_{31}x+a_{32}y+a_{33}z} \end{equation}

and

\begin{equation} \cases{ \dot x=f(x,y)\\ \dot y=g(x,y) } \end{equation} Here $f(x,y), g(x,y)$ are polynomials of degree 3.

Please, provide any reference.