ELFT HÍRADÓ

[INSPERGER Tamas <inspi AT mm.bme.hu>]

                                MEGHIVO


                             JAMES ENGLAND


                        University of Bristol,
            Bristol Centre for Applied Nonlinear Mathematics

 COMPUTING ONE-DIMENSIONAL STABLE MANIFOLDS OF PLANAR MAPS WITHOUT THE
                                INVERSE
                        cimmel eloadast tart


2003. oktober 17-en penteken 9:00 orakor


Az eloadas helye: Muszaki Mechanikai Tanszek Konyvtara
("MM" epulet I. em. 29).

Minden erdeklodot szivesen latunk.


Dr. Stepan Gabor
egyetemi tanar, tanszekvezeto


Abstract:

We present an algorithm to compute the one-dimensional stable manifold
of a saddle point for a planar map. In contrast to current standard
techniques, it is not necessary to know the inverse or approximate it by
using Newton's method. Rather than using the inverse, the manifold is
grown starting from the linear eigenspace near the saddle point by
adding a point that maps back onto an earlier segment of the stable
manifold. The performance of the algorithm is compared to other methods
using an example where the inverse map is known explicitly. The
strengths of our method are illustrated with examples of a stable
manifold that is not simply connected and a piecewise-smooth model of an
interrupted cutting process.


James England Internet honlapjanak cime a kovetkezo:
http://eis.bris.ac.uk/~je8010/