Limit Set Dichotomy and Convergence of semiflows Defined by Cooperative Standard CNNs

@article{Marco2010LimitSD,
  title={Limit Set Dichotomy and Convergence of semiflows Defined by Cooperative Standard CNNs},
  author={Mauro Di Marco and Mauro Forti and Massimo Grazzini and Luca Pancioni},
  journal={I. J. Bifurcation and Chaos},
  year={2010},
  volume={20},
  pages={3549-3563}
}
The paper analyzes some fundamental properties of the solution semiflow of nonsymmetric cooperative standard (S) cellular neural networks (CNNs) with a typical three-segment piecewise-linear (pwl) neuron activation. Two relevant subclasses of SCNNs, corresponding to one-dimensional circular SCNNs with two-sided or single-sided positive interconnections between nearest neighboring neurons only, are considered. For these subclasses it is shown that the associated solution semiflow satisfies the… CONTINUE READING