Complete synchronizability of chaotic systems:: A geometric approach

被引：15
|
作者：
Solís-Perales, G
Ayala, V
Kliemann, W
Femat, R
机构：
[1] IPICyT, Dept Matemat & Sistemas Computac, San Luis Potosi 78231, SLP, Mexico
[2] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile
[3] Iowa State Univ Sci & Technol, Dept Math, Ames, IA 50011 USA
来源：
CHAOS | 2003年 / 13卷 / 02期
关键词：
D O I：
10.1063/1.1566511
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the synchronizability is studied for complete synchronization via state feedback control. (C) 2003 American Institute of Physics.
引用
收藏
页码：495 / 501
页数：7
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