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Edge of chaos in reaction diffusion CNN model
- Source :
- Open Mathematics, Vol 15, Iss 1, Pp 21-29 (2017)
- Publication Year :
- 2017
- Publisher :
- De Gruyter, 2017.
-
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.
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 15
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.15a6b1e6fbad43e080656541e24349ed
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2017-0002