BIFURCATION AND CHAOS IN CELLULAR NEURAL NETWORKS

被引:243
作者
ZOU, F
NOSSEK, JA
机构
[1] Institute for Network Theory and Circuit Design, Technical University of Munich, D-8000
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1993年 / 40卷 / 03期
关键词
D O I
10.1109/81.222797
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
In this study bifurcation phenomena and chaotic behavior in cellular neural networks are investigated. In a two-cell autonomous system, Hopf-like bifurcation has been found, at which the flow around the origin, an equilibrium point of the system, changes from asymptotically stable to periodic. As the parameter grows further, by reaching another bifurcation value, the generated limit cycle disappears and the network becomes convergent again. Chaos is also presented in a three-cell autonomous system. It is shown that the chaotic attractor found here has properties similar to the famous double scroll attractor.
引用
收藏
页码:166 / 173
页数:8
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