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On rigorous study of Poincare maps defined by piecewise linear systems [electronic circuit example]

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Z. Galias
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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 a...Show More

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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.
Published in: 2005 IEEE International Symposium on Circuits and Systems
Date of Conference: 23-26 May 2005
Date Added to IEEE Xplore: 25 July 2005
Print ISBN:0-7803-8834-8

ISSN Information:

DOI: 10.1109/ISCAS.2005.1465360
Conference Location: Kobe, Japan
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