Manchester Applied Mathematics and Numerical Analysis Seminars
Lecture Theatre OF/B9 Oddfellows Hall (Material Science)
We present an algorithm for computing two-dimensional stable and unstable manifolds of vector fields. The main idea is to grow the manifold in concentric (topological) circles. Each new circle is computed as a set of intersection points of the manifold with a finite number of planes perpendicular to the last circle. Together with a scheme for adding or removing such planes this guarantees the quality of the mesh representing the computed manifold.
This method works well for the computation of two-dimensional manifolds of three-dimensional vector fields, but can also be used for higher dimensional cases. In particular, we give an example of a two-dimensional manifold for a four-dimensional system. We also discuss manifolds of periodic orbits that may be non-orientable.
For further info contact either Matthias Heil (email@example.com), Mark Muldoon (M.Muldoon@umist.ac.uk)or the seminar secretary (Tel. 0161 275 5800).