On rigorous study of Poincare maps defined by piecewise linear systems

被引：12
|
作者：
Galias, Z [1 ]
机构：
[1] AGH Univ Sci & Technol, Dept Elect Engn, PL-30059 Krakow, Poland
来源：
2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年
关键词：
D O I：
10.1109/ISCAS.2005.1465360
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this work we study possibilities of rigorous analysis of piecewise linear systems using 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.
引用
收藏
页码：3407 / 3410
页数：4
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