Periodic oscillations and bifurcations in cellular nonlinear networks

被引：31

作者：

Gilli, M ^{[1
]}

Corinto, F ^{[1
]}

Checco, P ^{[1
]}

机构：

[1] Politecn Torino, Dept Elect, I-10129 Turin, Italy

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2004年 / 51卷 / 05期

关键词：

cellular nonlinear networks (CNNs); complex dynamics; nonlinear dynamic arrays; oscillations; spectral techniques;

D O I：

10.1109/TCSI.2004.827627

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：

A spectral technique is proposed for investigating periodic oscillations and bifurcations in cellular nonlinear networks. The method consists of the following three fundamental steps: 1) an accurate estimation of the whole set of stable and unstable limit cycles is provided through the application of the describing function technique; 2) a detailed characterization of each limit cycle is obtained via the harmonic balance (HB) technique, by exploiting as input parameter the single harmonic approximation, provided by the describing function technique; 3) limit cycle stability and bifurcations are studied by computing the Floquet's multipliers and exploiting both a time-domain and an HB-based technique.

引用

页码：948 / 962

页数：15

共 38 条

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