time
measured
theory
Hamiltonian H = −(1/4π) Σ ΓiΓj ln rij
linear impulse (Σ Γixi, Σ Γiyi)

Red = positive circulation (counter-clockwise), blue = negative. Each vortex has no self-induced motion — it is simply advected by the field of all the others. That one sentence is the whole model, and it is enough to produce orbiting pairs, translating pairs, leapfrogging rings and chaos.