Title :
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
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;
Conference_Titel :
Cellular Neural Networks and Their Applications Proceedings, 1998 Fifth IEEE International Workshop on
Conference_Location :
London
Print_ISBN :
0-7803-4867-2
DOI :
10.1109/CNNA.1998.685343
