Multi-Element Circuit Simulation of Alterable Parameters and Switchable Fractional-Order Cellular Neural Networks

ZHANG Xiao-hong; YU Liang-hua

doi:10.3969/j.issn.0372-2112.2016.04.026

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Multi-Element Circuit Simulation of Alterable Parameters and Switchable Fractional-Order Cellular Neural Networks

更新时间：2025-07-16

- Multi-Element Circuit Simulation of Alterable Parameters and Switchable Fractional-Order Cellular Neural Networks
- Acta Electronica Sinica Vol. 44, Issue 4, Pages: 933-943(2016)
- 作者机构：
  
  江西理工大学信息学院,江西,赣州,341000
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2016.04.026
  CLC： TP391.9O415.5
- Published：2016
- 稿件说明：
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ZHANG Xiao-hong, YU Liang-hua. Multi-Element Circuit Simulation of Alterable Parameters and Switchable Fractional-Order Cellular Neural Networks[J]. Acta Electronica Sinica, 2016, 44(4): 933-943.
DOI：

ZHANG Xiao-hong, YU Liang-hua. Multi-Element Circuit Simulation of Alterable Parameters and Switchable Fractional-Order Cellular Neural Networks[J]. Acta Electronica Sinica, 2016, 44(4): 933-943. DOI： 10.3969/j.issn.0372-2112.2016.04.026.

摘要

构建新的整数阶三维细胞神经网络系统

通过对其非线性动力学分析、数值计算与电路仿真

验证了该系统混沌吸引子的存在性及物理上的可实现性.同时通过调节线性参数

研究了新的细胞神经网络系统在基于分数阶

(i=1

3)不同组合条件下所表现出的混沌特性.结合分数阶电路理论分析分数阶电路中各单元电路形式

并设计了相应参数

可变、阶数值

可切换的分数阶细胞神经网络电路系统.经统计本设计可实现13824种多元组合电路

并选取具有代表性组合电路进行电路仿真.仿真结果表明

多元电路仿真和数值仿真具有相似的混沌相图

从而证实了细胞神经网络在分数阶条件下仍表现出丰富的动力学特性

具有灵活实用价值和现实推广意义.

Abstract

Designed a new integer-order and three-dimensional cellular neural networks system.Through nonlinear dynamics analysis

numerical calculation and circuit simulation

the existence of chaotic attractor and realizability in physical about the system were verified.At the same time

studied the system's chaotic characteristics under the conditions of different combination about fractional order

(i=1

by adjusting the linear parameter

.According to the theoretical analysis of each unit circuit of fractional-order circuit

designed a corresponding fractional order cellular n

eural networks system

which has variable parameter

and switchable

.Statically

the design can realize 13824 kinds of multiple combination circuits.This paper selects several representative combinational circuits for circuit simulation.The simulation results show that multiple circuit simulation and numerical simulation have similar chaos phase diagram

which confirmed the system still has rich dynamic characteristics under the condition of the fractional-order

also has flexible application value and realistic significance.

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Related Institution

School of Mathematics Science, Tianjin Normal University

Department of Applied Mathematics.University of Electronic Science and Technology of China

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