A harmonic balance technique for the analysis of periodic attractors and their bifurcations in CNNs

Author

Civalleri, Pier Pacrlo ; Gilli, Marco

Author_Institution

Dipt. di Elettronica, Politecnico di Torino, Italy

fYear

1998

fDate

14-17 Apr 1998

Firstpage

106

Lastpage

111

Abstract

The occurrence of periodic attractors in CNNs is investigated through a harmonic balance technique. It is shown that for a N-cell CNN described by the template [a_-1, a₀, a₁], this technique leads to a set of 3N nonlinear equations, that can be reduced to 2N+1 equations through suitable algebraic manipulations. The technique allows to determine all the limit cycles and most of the bifurcation phenomena occurring in the network. The results are in good agreement with those observed by the time-simulation of the network

Keywords

bifurcation; cellular neural nets; limit cycles; nonlinear equations; symbol manipulation; CNN; algebraic manipulations; bifurcation phenomena; bifurcations; cellular neural nets; harmonic balance technique; limit cycles; nonlinear equations; periodic attractor analysis; time-simulation; Bifurcation; Biological system modeling; Cells (biology); Cellular neural networks; Harmonic analysis; Image processing; Limit-cycles; Nonlinear equations; Pattern recognition; Physics;

fLanguage

English

Publisher

ieee

Conference_Titel

Cellular Neural Networks and Their Applications Proceedings, 1998 Fifth IEEE International Workshop on

Conference_Location

London

Print_ISBN

0-7803-4867-2

Type

conf

DOI

10.1109/CNNA.1998.685343

Filename

685343