| contributor | IPVS, Bildverstehen | ||||||||||||
| creator |
Avrutin, Viktor
| Eckstein, Bernd
| Schanz, Michael
| date |
2007-03
| description |
In this work we present two numerical methods for the detection of
the number of bands of a multi-band chaotic attractor. The first
method is more efficient but can be applied only for dynamical
systems with a continuous system function, whereas the second one is
applicable for dynamical systems with a discontinuous system
function as well. Using the developed methods, we investigate a 1D
piecewise-linear map and report for both cases of a continuous and a
discontinuous system function some new bifurcation scenarios
involving multi-band chaotic attractors.
| |
| identifier | http://www.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=ART-2007-03&engl=1 |
| ISBN: DOI:10.1098/rspa.2007.1826 | |
| language | eng |
| publisher | The Royal Society |
| source | In: Proceedings of the Royal Society A. Vol. 463(2081), pp. 1339-1358 |
| subject | Numerical Analysis General (CR G.1.0) |
| Mathematical Software (CR G.4) | |
| Physical Sciences and Engineering (CR J.2) | |
| multi-band chaotic attractors | |
| discontinuous maps | |
| bandcount adding | |
| title | On detection of multi-band chaotic attractors |
| type | Text |
| Article in Journal |