On the dynamic behaviour of two‐cell cellular neural networks

1 September 1993

journal article
research article
Published by Wiley in International Journal of Circuit Theory and Applications

Vol. 21 (5) , 451-471
https://doi.org/10.1002/cta.4490210505

Abstract

A complete study of non‐linear differential equations describing two‐cell cellular neural networks (CNNs) is presented. the stability properties are investigated and the domains of attraction of the stable fixed points are determined. Also, the conditions for the existence of periodic and homoclinic cycles are stated.

Keywords

CELLULAR NEURAL NETWORK

This publication has 6 references indexed in Scilit:

On the stability analysis of cellular neural networks
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2003
On stability of cellular neural networks with delay
IEEE Transactions on Circuits and Systems I: Regular Papers, 1993
Stability of cellular neural networks with opposite-sign templates
IEEE Transactions on Circuits and Systems, 1991
Stability of a class of nonreciprocal cellular neural networks
IEEE Transactions on Circuits and Systems, 1990
Cellular neural networks: theory
IEEE Transactions on Circuits and Systems, 1988
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Published by Springer Nature ,1983