12-990s03.jpg

Alt text:

A double spectrum overlaid with scattered dots on a graph.

Caption:

Structure of the stable manifold for a two-dimensional, chaotic map. Black dots are points on the model attractor and red line is the local structure of the stable manifold - all points on the stable manifold collapse to the same point as they are integrated forward in time. The colors are a representation of the distance between a point in the space and a specified model trajectory. Note that the stable manifold lies in the minimum of this cost function space. (Courtesy of Prof. Jim Hansen.)