The paper considers a class of one-dimensional circular standard cellular neural network (CNN) arrays with a typical three-segment piecewise linear activation and two-sided {em cooperative/} (positive) interactions (a cooperative CNN ring). Numerical simulations show that in a wide range of interconnection parameters, and for a wide set of initial conditions, the solutions of a cooperative CNN ring display unexpectedly long oscillations, lasting even hundreds of cycles, before they eventually converge toward an equilibrium point. The goal of this paper is to confirm the presence of such long-transient oscillations through laboratory experiments on a simple discrete-component prototype of a cooperative CNN ring with 16 cells and to analyze some of their salient features. Analytical results are also provided to support the numerical and experimental findings.

Forti, M., B., G., M., K., & Pancioni, L. (2012). An experimental study on long transient oscillations in cooperative CNN rings. In 13th International Workshop on Cellular Nanoscale Networks and their Applications. Los Alamitos : IEEE [10.1109/CNNA.2012.6331410].

An experimental study on long transient oscillations in cooperative CNN rings

FORTI, MAURO;PANCIONI, LUCA
2012

Abstract

The paper considers a class of one-dimensional circular standard cellular neural network (CNN) arrays with a typical three-segment piecewise linear activation and two-sided {em cooperative/} (positive) interactions (a cooperative CNN ring). Numerical simulations show that in a wide range of interconnection parameters, and for a wide set of initial conditions, the solutions of a cooperative CNN ring display unexpectedly long oscillations, lasting even hundreds of cycles, before they eventually converge toward an equilibrium point. The goal of this paper is to confirm the presence of such long-transient oscillations through laboratory experiments on a simple discrete-component prototype of a cooperative CNN ring with 16 cells and to analyze some of their salient features. Analytical results are also provided to support the numerical and experimental findings.
978-1-4673-0289-0
Forti, M., B., G., M., K., & Pancioni, L. (2012). An experimental study on long transient oscillations in cooperative CNN rings. In 13th International Workshop on Cellular Nanoscale Networks and their Applications. Los Alamitos : IEEE [10.1109/CNNA.2012.6331410].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/48971
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