The Divergence of a Vector Field: Local Expansion and Contraction

The animations illustrate local versus global contraction. In all three vector fields the ducks drift towards the origin in a straight line. The divergences are different resulting in different local expansion/contraction.
$\mathbf F_1=\frac{-1}{\sqrt{x^2+y^2}}\binom{x}{y},\quad \nabla\cdot\mathbf F_1=-\frac 1r<0$ $\mathbf F_2=\frac{-1}{x^2+y^2}\binom{x}{y},\quad \nabla\cdot\mathbf F_2=0$ $\mathbf F_3=\frac{-1}{(x^2+y^2)^{3/2}}\binom{x}{y},\quad \nabla\cdot\mathbf F_3=\frac 1{r^3}>0$
Local and global contraction. Global contraction. No local expansion/contraction. Global contraction. Local expansion.