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

页码：281 / 288

页数：8

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