In this paper, we study the dynamics of a reaction-diffusion Cellular Nonlinear Network (RD-CNN) nodel in which the reaction term is represented by Brusselator cell. We investigate the RD-CNN dynamics by means of describing function method. Comparison with classical results for Brusselator equation is provided. Then we introduce a new RD-CNN model with memristor coupling, for which the edge of chaos regime in the parameter space is determined. Numerical simulations are presented for obtaining dynamic patterns in the RD-CNN model with memristor coupling.
@article{bwmeta1.element.doi-10_1515_math-2017-0002,
author = {Angela Slavova and Ronald Tetzlaff},
title = {Edge of chaos in reaction diffusion CNN model},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {21-29},
zbl = {1358.92022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0002}
}
Angela Slavova; Ronald Tetzlaff. Edge of chaos in reaction diffusion CNN model. Open Mathematics, Tome 15 (2017) pp. 21-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0002/