Numerical analysis of random dynamical systems in the context of ship stability

Description

We introduce numerical methods for the analysis of random dynamical systems.
The subdivision and the continuation algorithm are powerful tools which will be
demonstrated for a system from ship dynamics. With our software package we are
able to show that the well known safe basin is a moving fractal set. We will also
give a numerical approximation of the attracting invariant set (which contains a
local attractor) and its evolution.

Links & Downloads

1. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401234
2. urn:nbn:de:swb:ch1-200401234
3. http://www.qucosa.de/fileadmin/data/qucosa/documents/4871/data/ju_tagungsband_2003.pdf
4. http://www.qucosa.de/fileadmin/data/qucosa/documents/4871/20040123.txt

Tags

bifurcations

capsizing

random attractors

random dynamical system

random unstable manifold

ddc:510

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa.de:swb:ch1-200401234
Date	26 August 2004
Creators	Julitz, David
Contributors	TU Chemnitz, Fakultät für Mathematik
Publisher	Universitätsbibliothek Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:lecture
Format	application/pdf, text/plain, application/zip