Global Manifolds 1D Version 2

The Global Manifold 1D code computes one-dimensional stable and unstable manifolds for maps. It is an extension module of the Tcl/Tk version of DsTool.

This new upgraded version of the Global Manifolds 1D code includes the Search Circle algorithm. This algorithm computes one-dimensional stable manifolds of two-dimensional discrete systems without requiring explicit or approximate knowledge of the inverse map. The computations are done using forward iterates only, so numerical inaccuracies due to approximating the Jacobian matrix or using Newton's method are avoided. This means that it works for maps with multiple pre-images.