Symmetry breaking of periodic orbits in control systems:: A harmonic balance approach

被引：7
|
作者：
Aguirre, B [1 ]
Alvarez-Ramírez, J [1 ]
Suárez, R [1 ]
机构：
[1] Univ Autonoma Metropolitana Iztapalapa, Div Ciencias Basicas & Ingn, Mexico City 09340, DF, Mexico
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1998年 / 8卷 / 12期
关键词：
D O I：
10.1142/S0218127498001959
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is concerned with linear control systems subjected to saturated feedback. A first harmonic approach is used to describe the existence of nonsymmetric periodic orbits in a three-dimensional control system. By taking a high-gain parametrization of the feedback control, the presence of nonsymmetric (first harmonic) periodic orbits is demonstrated for certain values of the parameter. Since it is also shown that nonsymmetric periodic orbits do not exist for small and large values of the parameter, evidences are found of the existence of symmetry breaking bifurcations.
引用
收藏
页码：2439 / 2448
页数：10
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