- Thread starter
- #1

- Feb 29, 2012

- 342

$$x' = 2x - e^y (2+y),$$ $$y' = -y.$$

Find the stable and unstable manifolds near the rest point.

I know that the stable manifold $W^s$ is a immersed surface in $\mathbb{R}^2$ with tangent space $E^s$ (the stable linear subspace). How can I compute the stable and unstable manifolds? I can't find decent instructions anywhere. Thanks.