Taylor Perturbation

Hi, I'm not sure what to do with this...

Let's consider the system:

$<br /> \dot{x}=\mu+x^2-xy$
$\dot{y}=y^2-x^2-1<br />$

For $\mu=0$ we have saddles $P_1(0)=(1,0),P_2(0)=(-1,0)$ . Now we consider $\mu\neq 0$ small.

How do we determine a Tayler/Pertubation-expansion of the saddles $P_1(\mu),P_2(\mu)$ ? (upto quadratic terms in $\mu$ )