On Autowave Travelling of Discrete Pulse-coupled Neural Networks

摘要

Autowave travelling of Discrete Pulse Coupled Neural Networks(PCNNs) is of much importance in dealing with image processing and combinatorial optimization with PCNNs. This paper presents the condition for the autowave to spread in the PCNN on the stimulus of neurons in it. The condition is that whenever the intensity of stimulus to the neurons is in the range of an exponentially decreasing band along the neurons that are from the autowave source neuron, the autowave could spread out along the neurons in the net. The spreading ability respect to the parameters of the PCNN is studied. Finally, a large number of experiments show a concrete consistency with our theoretical results.