Chaotic Synchronization and Application of Neuron Models with Different Structures

WU Kai-jun; YAN Ming-jun

doi:10.13756/j.gtxyj.2021.06.004

您当前的位置：

首页 >

文章列表页 >

Chaotic Synchronization and Application of Neuron Models with Different Structures

- Chaotic Synchronization and Application of Neuron Models with Different Structures
- Study on Optical Communications Issue 6, Pages: 23-27,37(2021)
- 作者机构：
  
  兰州交通大学电子与信息工程学院，兰州　730000
- 作者简介：
- 基金信息：
- DOI：10.13756/j.gtxyj.2021.06.004
  CLC： TP391.9
- Published：10 December 2021，
  
  Received：29 December 2020，
扫描看全文
WU Kai-jun, YAN Ming-jun. Chaotic Synchronization and Application of Neuron Models with Different Structures. [J]. Study on Optical Communications (6):23-27,37(2021)
DOI：

WU Kai-jun, YAN Ming-jun. Chaotic Synchronization and Application of Neuron Models with Different Structures. [J]. Study on Optical Communications (6):23-27,37(2021) DOI： 10.13756/j.gtxyj.2021.06.004.

摘要

针对两个结构不同的神经元模型的混沌同步问题，文章分别研究了FitzHugh-Nagumo和Morris-Lecar神经元的动力学行为，根据Lyapunov稳定性理论，采用投影同步的方法设计了控制器，通过控制器实现了两个结构不同的神经元模型的混沌同步，并将所设计的神经元同步系统应用到了混沌保密通信中，进行了仿真实验，仿真结果表明，其在保密通信中具有有效性和可靠性。

Abstract

In order to solve the chaotic synchronization problem of two neuron models with different structures

the dynamical behaviours of Fitzhugh-Nagumo (FHN) neurons and Morris-Lecar (ML) neurons are studied respectively. Based on Lyapunov stability theory

a controller is designed by using the method of projection synchronization

and the chaotic synchronization of two neuron models with different structures is realized by the controller. The neural synchronization system is applied to chaotic secure communication

and the simulation results verifies its effectiveness and reliability in secure communication.

关键词

神经元模型混沌同步投影同步保密通信

Keywords

neuronal modelchaotic synchronizationprojection synchronizationsecure communications

references

Steinmetz P N, Roy A, Fitzgerald P J, et al. Attention Modulate Synchronized Neuronal Firing in Primate Somatosensory Cortex[J].Nature, 2000, 404(6774): 187-190.

Malik S A, Mir A H.Synchronization of Hindmarsh Rose Neurons[J].Neural Networks, 2020, 123(1): 372-380.

Yao W, Wang C H, Cao J D, et al. Hybrid Multisynchronization of Coupled Multistable Memristive Neural Networks with Time Delays[J].Neurocomputing, 2019, 363(1): 281-294.

Lin H, Wang C, Yao W, et al. Chaotic Dynamics in a Neural Network with Different Types of External Stimuli[J].Communications in Nonlinear Science and Numerical Simulation, 2020, 90(1): 105390.

王海侠, 陆启韶, 郑艳红.神经元模型的复杂动力学：分岔与编码[J].动力学与控制学报, 2009, 7(4): 293-296.

Pecora L M, Carroll T L.Synchronization in Chaotic Systems[J].Phys.Rev.Lett., 1990, 64(8): 821-830.

Sarbendu R, Arnob R, Bera B K, et al. Synchronization and Firing Patterns of Coupled Rulkov Neuronal Map[J].Nonlinear Dynamics, 2018, 94(2): 785-805.

Wang B, Zhong S M, Dong X C.On the Novel Chaotic Secure Communication Scheme Design[J].Communications in Nonlinear Science and Numerical Simulation, 2016, 39(1): 108-117.

于娜, 丁群, 陈红.异结构系统混沌同步及其在保密通信中的应用[J].通信学报, 2007, 28(10): 73-78.

Xu G W, Xu J X, Xiu C B, et al. Secure Communication based on the Synchronous Control of Hysteretic Chaotic Neuron[J].Neurocomputing, 2017, 227(1): 108-112.

Nicolau F, Respondek W, Barbot J P, et al. Secure Communication with the Help of Flat Inputs for Chaotic Systems[J].IFAC-Papers On Line, 2018, 51(33): 109-114.

于海涛, 王江.基于反演自适应动态滑模的FitzHugh-Nagumo神经元混沌同步控制[J].物理学报, 2013, 62(17): 144-150.

刘越, 陈莹, 郭树旭.广义平移混沌系统的异结构同步[J].吉林大学学报 (理学版), 2017, 55(4): 973-978.

Li G D, Pu Y, Yang B, et al. Synchronization between Different Hyper Chaotic Systems and Dimensions of Cellular Neural Network and its Design in Audio Encryption[J].Cluster Computing, 2019, 22(3): 7423-7434.

Wu Q J, Zhou J, Lan X, et al. Impulsive Control and Synchronization of Chaotic Hindmarsh-Rose Models for Neuronal Activity[J].Chaos, Solitons & Fractals, 2009, 41(5): 2706-2715.

王青云, 石霞, 陆启韶.神经元耦合系统的同步动力学[M].北京: 科学出版社, 2008.

张艳娇, 李美生, 陆启韶.ML神经元的放电模式及时滞对神经元同步的影响[J].动力学与控制学报, 2009, 7(1): 19-23.

Morris C, Lecar H.Voltage Oscillations in the Barnacle Giant Muscle-Fiber[J].Biophys J, 1981, 35(1): 193-213.

李震波, 赵小山, 王靖.基于改进的主动控制法实现混沌系统广义投影同步[J].物理学报, 2011, 60(5): 113-120.

李战国, 徐伟.不同阶数混沌系统缩阶混沌函数投影同步[J].信息与控制, 2012, 41(1): 34-37.

蔡娜, 井元伟, 张嗣瀛.不同结构混沌系统的自适应同步和反同步[J].物理学报, 2009, 58(2): 802-813.

更多指标>

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰