Fig. 2: Dominant balance physics identified across a range of systems.
From: Learning dominant physical processes with data-driven balance models

For each case, a visualization of the system is shown on the left, followed by 2D views of the equation space colored by the identified balance relation, a key describing the active terms in each model, and the original field colored by the local balance. From top: a boundary layer in transition to turbulence, pulse propagation in an optical fiber, surface currents in the Gulf of Mexico, a Hodgkin–Huxley model for an intrinsically bursting neuron, and a simplified combustion model for a rotating detonation engine.