DocumentCode
3546535
Title
On rigorous study of Poincare maps defined by piecewise linear systems [electronic circuit example]
Author
Galias, Zbigniew
Author_Institution
Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Krakow, Poland
fYear
2005
fDate
23-26 May 2005
Firstpage
3407
Abstract
In this work, we study the possibilities of rigorous analysis of piecewise linear systems using the Poincare map technique and interval methods. We show that successful analysis can be carried out provided that the Poincare map is continuous in the region containing the attractor. In particular, complete classification of short periodic orbits embedded within the attractor is possible.
Keywords
Poincare mapping; chaos; piecewise linear techniques; Poincare maps; attractor embedded orbits; interval methods; piecewise linear systems; short periodic orbit classification; Computer simulation; Continuous time systems; Electronic circuits; Equations; Orbits; Piecewise linear techniques; State-space methods; Trajectory; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN
0-7803-8834-8
Type
conf
DOI
10.1109/ISCAS.2005.1465360
Filename
1465360
Link To Document