Hopf bifurcation for maps: A frequency-domain approach

被引：23
|
作者：
D'Amico, MB [1 ]
Moiola, JL
Paolini, EE
机构：
[1] Univ Nacl Sur, Dept Ingn Elect, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2002年 / 49卷 / 03期
关键词：
bifurcation; discrete-time systems; frequency domain; harmonic analysis;
D O I：
10.1109/81.989161
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：
The application of the graphical Hopf theorem (GHT) as a tool for detecting invariant cycles in maps is presented. The invariant cycle emerging from the bifurcation is approximated using an analogous version of the GHT for continuous-time systems. This technique is formulated in the so-called frequency domain and it involves the use of the Nyquist stability criterion and the harmonic balance method. Some examples are included for illustration.
引用
收藏
页码：281 / 288
页数：8
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