Edge of chaos in reaction diffusion CNN model

Angela Slavova; Ronald Tetzlaff

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 21-29
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Angela Slavova, and Ronald Tetzlaff. "Edge of chaos in reaction diffusion CNN model." Open Mathematics 15.1 (2017): 21-29. <http://eudml.org/doc/288076>.

@article{AngelaSlavova2017,
abstract = {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.},
author = {Angela Slavova, Ronald Tetzlaff},
journal = {Open Mathematics},
keywords = {Cellular Nonlinear Networks; Reaction-diffusion Brusselator equation; Memristor; Edge of chaos; cellular nonlinear networks; reaction-diffusion Brusselator equation; memristor; edge of chaos},
language = {eng},
number = {1},
pages = {21-29},
title = {Edge of chaos in reaction diffusion CNN model},
url = {http://eudml.org/doc/288076},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Angela Slavova
AU - Ronald Tetzlaff
TI - Edge of chaos in reaction diffusion CNN model
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 21
EP - 29
AB - 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.
LA - eng
KW - Cellular Nonlinear Networks; Reaction-diffusion Brusselator equation; Memristor; Edge of chaos; cellular nonlinear networks; reaction-diffusion Brusselator equation; memristor; edge of chaos
UR - http://eudml.org/doc/288076
ER -

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