计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (21): 74-79.
• 理论研究、研发设计 • 上一篇 下一篇
叶永刚1,徐耀群2
出版日期:
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YE Yonggang1, XU Yaoqun2
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摘要: 针对混沌神经网络的单调激励函数,引入Legendre函数和Sigmoid函数组合作为非单调激励函数,构造了一种新的暂态混沌神经元模型(SLF模型),并给出了此混沌神经元的倒分岔图和最大Lyapunov指数时间演化图,利用该模型构建了一种暂态混沌神经网络,通过对非线性函数优化和TSP问题的求解验证了该模型的有效性。
关键词: 混沌神经网络, Sigmoid函数, Legendre函数, 旅行商问题(TSP), Lyapunov指数
Abstract: As to the monotonous activation function of chaotic neural network (SLF model), it presents a novel transient chaotic-neuron model by introducing the Legendre function and the Sigmoid activation function to compose the non-monotonous activation function. The reversed bifurcation and the maximum Lyapunov exponent of the chaotic neuron are given and the dynamic system is analyzed. Based on the neuron model, a novel transient chaotic-neural network is proposed and applied to non-linear function-optimization and TSP problems. The simulation result indicates the validity of this novel transient chaotic-neural network.
Key words: chaotic neural network, Sigmoid function, Legendre function, Travelling Salesman Problem(TSP), Lyapunov exponent
叶永刚1,徐耀群2. SLF混沌神经网络及其应用[J]. 计算机工程与应用, 2015, 51(21): 74-79.
YE Yonggang1, XU Yaoqun2. SLF chaotic neural network model and its application[J]. Computer Engineering and Applications, 2015, 51(21): 74-79.
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