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). IEEE [10.1109/ISCAS.2004.1328678].
Rich dynamics in weakly coupled full-range cellular neural networks
DI MARCO M.;FORTI M.;
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.
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https://hdl.handle.net/11365/25441
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