A Novel Chaotic Neural Network and Its Application

XIU Chun-bo; LIU Xiang-dong; ZHANG Yu-he; TANG Yun-yu

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A Novel Chaotic Neural Network and Its Application

更新时间：2025-07-16

- A Novel Chaotic Neural Network and Its Application
- Acta Electronica Sinica Vol. 33, Issue 5, Pages: 868-870(2005)
- 作者机构：
  
  1. 天津工业大学自动化系,天津,300160
  2. 北京理工大学自动控制系,北京,100081
  3. 天津工业大学自动化系天津,300160
  4. 北京理工大学自动控制系北京,100081
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP301.6
- Published：2005
- 稿件说明：
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XIU Chun-bo, LIU Xiang-dong, ZHANG Yu-he, et al. A Novel Chaotic Neural Network and Its Application[J]. Acta Electronica Sinica, 2005, 33(5): 868-870.
DOI：

XIU Chun-bo, LIU Xiang-dong, ZHANG Yu-he, et al. A Novel Chaotic Neural Network and Its Application[J]. Acta Electronica Sinica, 2005, 33(5): 868-870. DOI：

摘要

提出了一种新的混沌神经元模型

该神经元的激励函数由Gauss和Sigmoid两种函数加和组成的非单调函数构成.通过分岔图及Lyapunov指数的计算

分析了其动力学特性.基于该模型

构造了一种新的具有暂态混沌特性的神经网络

该网络在寻优过程中同时衰减两种退火机制实现混沌退火.通过将特征点匹配问题转化为优化问题

该网络可以实现对目标识别问题的求解.仿真实验验证了该算法的有用性和有效性.

Abstract

We give a novel chaotic neuron model whose activation function is composed of Gauss and Sigmoid function.It is shown that the model may exhibit a complex dynamic behavior.The most significant bifurcation processes

leading to chaos

are investigated through the computation of the Lyapunov exponents.Based on this neuron model

we propose a novel chaotic neural network

which realizes simulated chaotic anneal by decaying two parameters simultaneously.Transforming the feature points matching problem into the optimization problem

the network can complete the function of the object recognition.The simulation results prove the validity of the algorithm.

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