Global state space visualizationThis global portrait shows several equilibria of plane Couette flow, together with segments of their unstable manifolds traced by evolving the velocity field under NavierStokes. 

The labeled points are
The fields in this section of the tutorial are within the Sinvariant subspace. 

The statespace projection is 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 upperbranch equilibrium and its halfcell translations, with the laminar equilibrium as the origin. 