Dynamical systems

A fixed point (and other structures too, if suitably generalized) of a dynamical system has three kinds of invariant manifolds:

• Unstable manifold
• Stable manifold
• Center manifold

See Chapter 3 in Wiggins book.

ChaosBook.org chapter Stretch, fold, prune - Stable, unstable manifolds

ChaosBook.org chapter Stretch, fold, prune- Plotting an unstable manifold