The paper considers the full-range cellular neural networks (FRCNNs) when the neuron self-inhibiting nonlinearities are modelled by ideal hard comparator functions with two vertical straight segments. By using tools from the theory of differential inclusions, a time-scaling property for the trajectories of a family of FRCNNs depending upon a parameter ε is established. The significance of this property, which is not enjoyed by the familiar model of standard cellular networks, is discussed when ε is small in relation to the issue of the possible presence of rich non-convergent dynamics in weakly-coupled FRCNNs.

DI MARCO, M., Forti, M., Tesi, A. (2004). Rich dynamics in weakly coupled full-range cellular neural networks. In 2004 IEEE International Symposium on Circuits and Systems (pp.41-44) [10.1109/ISCAS.2004.1328678].

Rich dynamics in weakly coupled full-range cellular neural networks

DI MARCO, MAURO;FORTI, MAURO;
2004-01-01

Abstract

The paper considers the full-range cellular neural networks (FRCNNs) when the neuron self-inhibiting nonlinearities are modelled by ideal hard comparator functions with two vertical straight segments. By using tools from the theory of differential inclusions, a time-scaling property for the trajectories of a family of FRCNNs depending upon a parameter ε is established. The significance of this property, which is not enjoyed by the familiar model of standard cellular networks, is discussed when ε is small in relation to the issue of the possible presence of rich non-convergent dynamics in weakly-coupled FRCNNs.
2004
078038251X
DI MARCO, M., Forti, M., Tesi, A. (2004). Rich dynamics in weakly coupled full-range cellular neural networks. In 2004 IEEE International Symposium on Circuits and Systems (pp.41-44) [10.1109/ISCAS.2004.1328678].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/25441
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo