【摘要】 研究了一类以梯形激活函数为输出函数的细胞神经网络.通过将a-z平面分解成25个不交的区域,分析了这类细胞神经网络的静态解.其中,a和z(即反馈系数和阈值)被视为参数.当给定参数时,每个区间内该类细胞神经网络的静态解的范围被确定.针对一类特殊的梯形激活函数的细胞神经网络,研究了其静态解诱导的映射产生的Sm ale马蹄的充分条件,说明了该映射的复杂性.更多还原

【Abstract】 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.更多还原