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带扰动的变频正弦混沌神经网络研究
引用本文:胡志强,,李文静,,乔俊飞,.带扰动的变频正弦混沌神经网络研究[J].智能系统学报,2018,13(4):493-499.
作者姓名:胡志强    李文静    乔俊飞  
作者单位:1. 北京工业大学 信息学部, 北京 100124;2. 计算智能与智能系统北京市重点实验室, 北京 100124
摘    要:为了研究变频正弦混沌神经网络(FCSCNN)的抗扰动能力,在该混沌神经元的内部状态中分别引入三角函数和小波函数扰动项,提出了带扰动的变频正弦混沌神经元模型。给出了该混沌神经元的倒分岔图及Lyapunov指数的时间演化图,分析了其动力学特性。利用该模型构建了新型暂态混沌神经网络,通过选择不同的扰动系数,将其应用于函数优化和组合优化问题上。仿真实验表明,在适当的扰动系数下,变频正弦混沌神经网络能够有效地解决函数优化和组合优化问题,体现了该模型具有较强的鲁棒性和抗扰动能力。

关 键 词:扰动  三角函数  小波函数  混沌神经网络  变频正弦  组合优化

Frequency-conversion sinusoidal chaotic neural network with disturbance feature
HU Zhiqiang,,LI Wenjing,,QIAO Junfei,.Frequency-conversion sinusoidal chaotic neural network with disturbance feature[J].CAAL Transactions on Intelligent Systems,2018,13(4):493-499.
Authors:HU Zhiqiang    LI Wenjing    QIAO Junfei  
Affiliation:1. Faculty of Information Technology, Beijing University of Technology, Beijing 100124, China;2. Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing 100124, China
Abstract:In this paper, we propose a novel frequency-conversion sinusoidal chaotic neuron model with a disturbance feature to study the anti-disturbance ability of the frequency-conversion sinusoidal chaotic neural network (FCSCNN). To do so, we introduce trigonometric function and wavelet function disturbances into the internal state of the chaotic neuron model. We present a reversed bifurcation diagram of the chaotic neuron and a time evolution diagram of the Lyapunov exponent and then analyze the dynamic properties. We constructed a new transient chaotic neural network (TCNN) using the novel chaotic neuron model. By selecting different disturbance coefficients, we performed network function optimization and combinational optimization. Simulation results show that the FCSCNN can effectively solve function optimization and combinational optimization problems with appropriate disturbance coefficients, which demonstrate the strong robustness and anti-disturbance ability of the model.
Keywords:disturbance  trigonometric function  wavelet function  chaotic neural network  frequency conversion sinusoidal  combination optimization
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