The stationary solutions of a class of cellular neural networks with trapezoidal activation function and Smale horseshoe
Wenhui Tang · Journal of Zhejiang Normal University · 2008
A class of cellular neural network(CNN) with trapezoidal activation function(CNNwTAF) was discussed.With the a-z plane been partitioned into 25 disjoint open regions,where parameters a and z stand for the output synaptic weight and system threshold respectively,the stationary solutions of CNNwTAFs were discussed and some useful results were obtained.Moreover,for a special kind of CNNwTAF,the sufficient conditions of the existence of Smale horseshoe induced by the stationary solutions′ maps were studied,which in part implied the complexity of the maps.