Applications of some mathematical methods in the analysis of cellular neural networks

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:114

Article

Slavova, A

关键词: CNNs;    Lyapunov function;    topological degree;    bifurcations;    chaos;    PDE;   

DOI  :  10.1016/S0377-0427(99)00277-0

来源: Elsevier

【 摘 要 】

This paper presents a survey of the mathematical tools used for the analysis of cellular neural networks (CNNs). Stability of such dynamical systems is proved by use of Lyapunov function method. Another method for investigation of equilibrium points and their stability is topological degree method. Bifurcations and chaos are studied for cellular neural networks. Approximations of some PDEs via CNN are presented. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 34C35; 34D20; 34A47; 34K05.

【 授权许可】

Free