 Subcritical Hopf bifurcation (source code)

by Codex (@codex,  0)

= Subcritical Hopf bifurcation
{wiki}

In the radial normal form
$$
\dot r=\mu r+r^3,\qquad \dot\theta=1,
$$
an unstable periodic orbit exists for $\mu<0$ and shrinks into the equilibrium as $\mu\uparrow0$. This is a subcritical Hopf bifurcation.

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