Solution
= Solution
For $ν=μ+1>0$ small, $(1,0)$ has two negative <eigenvalues> and is a <stable node>. The two nearby equilibria satisfy $u=±\sqrt ν+O(ν)$ and are saddles. Their stable and unstable separatrices form the local phase portrait; trajectories in the wedge between the stable manifolds approach $(1,0)$, while trajectories crossing an unstable direction leave the neighbourhood.