DocumentCode
418377
Title
Towards full characterization of continuous systems in terms of periodic orbits
Author
Galias, Zbigniew
Author_Institution
Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Krakow, Poland
Volume
4
fYear
2004
fDate
23-26 May 2004
Abstract
In this work we describe a method to find, for a continuous system, all the low-period cycles embedded within a numerically observed attractor. As an example of the application of this technique, we construct the trapping region for the Roessler system and find all periodic orbits of the associated Poincare map up to period 11.
Keywords
Newton method; Poincare mapping; chaos; continuous time systems; mathematical operators; Poincare map; Roessler system; continuous systems; periodic orbits; trapping region; Chaos; Continuous time systems; Differential equations; Jacobian matrices; Orbits; Piecewise linear techniques; Trajectory; Wrapping;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN
0-7803-8251-X
Type
conf
DOI
10.1109/ISCAS.2004.1329104
Filename
1329104
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