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What I've got so far is (These are the types we have to know about):

- Saddle node - a driven pendulum; the bifurcation occurs when the torque is sufficient to push the pendulum over the top.
- Transcritical - A laser amplifier reaching the critical level of pumping to produce a population inversion.
- Supercritical pitchfork - The onset of Rayleigh-Benard convection.
- Subcritical pitchfork - I think I've heard about something the reaction that tells the heart to pump?
- Supercritical Hopf - No ideas.
- Subcritical Hopf - The transition to chaos in the Lorenz system i.e. Rayleigh-Benard convection.

Examples related to fluids/and or biological systems would be particularly good because fluids, non linear systems and biological physics are all lumped into one exam!