Edge of chaos in reaction diffusion CNN model

• Autorzy: Angela Slavova , Ronald Tetzlaff
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Cellular Nonlinear Networks; Reaction-diffusion Brusselator equation; Memristor; Edge of chaos

Kategorie tematyczne

• 92B20: Neural networks, artificial life and related topics
• 65P20: Numerical chaos

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 21-29

Daty

wydano

2017-01-01

otrzymano

2016-10-10

zaakceptowano

2016-12-20

online

2017-02-02

Twórcy

autor

Angela Slavova

• Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia 1113,

autor

Ronald Tetzlaff

• Institute of Fundamentals of Electrical Engineering and Electronics, Technical University Dresden, D-01069 Dresden,

Identyfikatory

DOI

10.1515/math-2017-0002