[1]金秋森,闵富红,吕晏旻.基于Lorenz系统的离散分析与FPGA实现[J].南京师范大学学报(工程技术版),2019,19(01):029.[doi:10.3969/j.issn.1672-1292.2019.01.004]
　Jin Qiusen,Min Fuhong,Lü Yanmin.Discrete Analysis and FPGA Implementation Based on Lorenz System[J].Journal of Nanjing Normal University(Engineering and Technology),2019,19(01):029.[doi:10.3969/j.issn.1672-1292.2019.01.004]
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基于Lorenz系统的离散分析与FPGA实现
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
19卷
期数:
2019年01期
页码:
029
栏目:
电气与自动化工程
出版日期:
2019-03-30

文章信息/Info

Title:
Discrete Analysis and FPGA Implementation Based on Lorenz System
文章编号:
1672-1292(2019)01-0029-11
作者:
金秋森; 闵富红; 吕晏旻
南京师范大学南瑞电气与自动化学院,江苏 南京 210023
Author(s):
Jin Qiusen; Min Fuhong; Lü Yanmin
School of NARI Electrical and Automation,Nanjing Normal University,Nanjing 210023,China
关键词:
Lorenz系统; 离散化; FPGA; Verilog HDL
Keywords:
Lorenz system; discretization; field-programmable gate array(FPGA); Verilog HDL
分类号:
TP391.3
DOI:
10.3969/j.issn.1672-1292.2019.01.004
文献标志码:
A
摘要:
以现场可编程门阵列(field-programmable gate array,FPGA)和IEEE754标准为基础,设计出能产生Lorenz混沌信号的数字电路. 首先,根据Euler法、Runge-Kutta法,分别将系统方程离散化. 然后,利用Verilog HDL语言编写程序,运用Xilinx软件、Modelsim软件将程序综合、编译、检测. 最终,将生成的bit文件烧录到FPGA中,通过示波器观测系统的混沌态与非混沌态. 对比论证不同算法的实现效果,得出二阶Runge-Kutta法是实现经典混沌系统的FPGA仿真的最优离散方法,为后续混沌信号在数字化领域的进一步发展提供参考和依据.
Abstract:
Based on the field-programmable gate array(FPGA)and IEEE754 standard,digital circuits capable of generating Lorenz chaotic signals are designed and demonstrated. Firstly,the system equations are discretized according to the Euler method and the Runge-Kutta method. Then,the program is written in Verilog HDL language,and the program is integrated,compiled and tested through Xilinx software and Modelsim software. Finally,the generated bit file is burned into FPGA to observe the chaotic and non-chaotic states of the system through an oscilloscope. By comparing and demonstrating the implementation effect of different algorithms,it is concluded that the second-order Runge-Kutta method is the optimal discrete method to realize the FPGA simulation of the classical chaotic system,providing reference and basis for the further development of the subsequent chaotic signal in the digital field.

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备注/Memo

备注/Memo:
收稿日期:2018-10-19.
基金项目:国家自然科学基金课题(61871230)、江苏省自然科学基金课题(BK2018021196)、中国江苏省研究生研究与创新实践项目(KYCX18_1220).
通讯联系人:闵富红,博士,教授,研究方向:非线性电路与系统. E-mail:minfuhong@njnu.edu.cn
更新日期/Last Update: 2019-03-30