Supercritical pitchfork bifurcation
= Supercritical pitchfork bifurcation
{title2=$\dot x=\mu x-x^3$}
In the displayed <pitchfork bifurcation> normal form, zero is stable for $\mu<0$ and unstable for $\mu>0$. At $\mu=0$, a symmetric stable pair $x=\pm\sqrt\mu$ appears on the side where zero is unstable. Reversing the parameter orientation changes the side, while retaining the supercritical relationship between the new stable branches and the destabilized central branch.