Simulation, modeling, and analysis of soliton waves interaction and propagation in CNN transmission lines for innovative data communication and processing
type: Item
instance of: scholarly article
title: Simulation, modeling, and analysis of soliton waves interaction and propagation in CNN transmission lines for innovative data communication and processing
zbMATH Open document ID: 1418.35320
DOI: 10.1155/2015/139238
author: G. Borgese
author: S. Vena
author: C. Pace
author: Pietro Pantano
author: Eleonora Bilotta
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We present an innovative approach to study the interaction between oblique solitons, using nonlinear transmission lines, based on Cellular Neural Network (CNN) paradigm. A single transmission line consists of a 1D array of cells that interact with neighboring cells, through both linear and nonlinear connections. Each cell is controlled by a nonlinear Ordinary Differential Equation, in particular the Korteweg de Vries equation, which defines the cell status and behavior. Two typologies of CNN transmission lines are modelled: crisscross and ring lines. In order to solve KdV equations two different methods are used: 4th-order Runge-Kutta and Forward Euler methods. This is done to evaluate their accuracy and stability with the purpose of implementing CNN transmission lines on embedded systems such as FPGA and microcontrollers. Simulation/analysis Graphic User Interface platforms are designed to conduct numerical simulations and to display elaboration results. From this analysis it is possible both to identify the presence and the propagation of soliton waves on the transmission lines and to highlight the interaction between solitons and rich nonlinear dynamics. With this approach it is possible to simulate and develop the transmission and processing of information within large brain networks and high density sensor systems.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 7025227
Wikidata QID: Q57659347
describes a project that uses: CNN
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/139238
OpenAlex ID: W1586570834
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description: scientific article; zbMATH DE number 7025227