POD

Question:
Is this yet another POD tutorial?
Answer:
No, we do not use Proper Orthogonal Decomposition (construction of orthogonal coordinate frames by fitting long-time trajectory averages by ellipsoidal cigars) - triangulation of state space by exact invariant solutions and their stable/unstable manifolds is a very different idea.
 
However, we are indebted to the earlier POD work for the idea that the energy norm is a useful norm.
statespFrames.html