## A state space visualization: *2d* plane *(***e**_{1},**e**_{2})
The next slide shows the state-space projection of the flow
from the *10*^{5} dimensional space of free variables
in the CFD algorithm onto a *2d* plane *(***e**_{1},**e**_{2}) formed from linear combinations of the upper-branch equilibrium and its half-cell translations.
This **visualization is physical**, independent of whether the
**u**(t) data is from a numerical simulation or
an experiment.
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