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
收藏
页码：948 / 962
页数：15
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