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
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;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1329104
