[1]邵书义,闵富红,王恩荣,等.四阶蔡氏电路的数值仿真分析与电路实现[J].南京师范大学学报(工程技术版),2012,12(03):006-9.
 Shao Shuyi,Min Fuhong,Wang Enrong.Numerical Simulation Analysis and Circuit Implementation of Four-Order Chua’s System[J].Journal of Nanjing Normal University(Engineering and Technology),2012,12(03):006-9.
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四阶蔡氏电路的数值仿真分析与电路实现
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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:
12卷
期数:
2012年03期
页码:
006-9
栏目:
出版日期:
2012-09-20

文章信息/Info

Title:
Numerical Simulation Analysis and Circuit Implementation of Four-Order Chua’s System
作者:
邵书义;闵富红;王恩荣;
南京师范大学电气与自动化工程学院,江苏南京210042
Author(s):
Shao ShuyiMin FuhongWang Enrong
School of Electrical and Automatic Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
四阶蔡氏电路Lyapunov 指数分岔功率谱
Keywords:
four-order Chua’s circuitLyapunov exponentbifurcationpower spectrum
分类号:
TM132;O415.5
摘要:
详细地分析了四阶非线性蔡氏电路系统的动力学性质,给出系统的Lyapunov指数图、分岔图和功率谱等,确定了相应的混沌运动和周期运动区域,从而为电路模拟提供了依据.此外,基于Multisim电路仿真软件,设计出四阶蔡氏系统的电路模型,获得了单涡卷和双涡卷的混沌吸引子,验证了数值仿真的有效性.
Abstract:
In this paper,the dynamics analysis of four-order Chua’s circuit was investigated through the Lyapunov exponent, bifurcation and power spectrum,which developed the corresponding domain for chaotic motion and periodic motion. Furthermore, the four-order Chua’s circuit was designed through the Multisim circuit simulation software,and then the single or two-scroll chaotic attractors were given. The results are presented to demonstrate the effectiveness of the proposed method.

参考文献/References:

[1]闵富红,吴薛红,曹弋. 分数阶混沌系统的追踪同步与电路实现[J]. 南京师范大学学报: 工程技术版,2011,11( 2) : 13-18. Min Fuhong,Wu Xuehong,Cao Yi. Circuit realization and tracking of new fractional-order chaotic system[J]. Journal of Nanjing Normal University: Engineering Technology Edition,2011,11( 2) : 13-18. ( in Chinese)
[2]闫明媚,满丰泉,王忠林. 一个新的四维混沌系统性质分析与电路实现[J]. 数学通信,2009,49( 4) : 68-70. Yan Mingmei,Man Fengquan,Wang Zhonglin. Analysis and circuit implementation of a new four dimension chaotic system [J]. Digital Communication,2009,49( 4) : 68-70. ( in Chinese)
[3]Xian Liu,Jinzhi Wang,Lin Huang. Chaos control of a Four-order chua’s circuit[C]/ / 25th Chinese Control Conference, CCC 2006. Harbin,2006: 227-232.[4]Anshan H. A study of the chaotic phenomena in chua’s circuit[C]/ / 1988 IEEE International Symposium on Circuits and Systems. New York,1988: 273-276.
[5]王晓辉,谢胜曙,张志伟. 基于Matlab 的混沌系统仿真与分析[J]. 现代电子技术,2006, 46( 10) : 105-107. Wang Xiaohui,Xie Shengshu,Zhang Zhiwei. Simulation and analysis of chaotic system with matlab[J]. Modern Electronics Technique,2006,46( 10) : 105-107. ( in Chinese)
[6]高娟,李峰. 基于Multisim 的电子电路仿真研究[J]. 青岛职业技术学院学报,2006,19( 2) : 63-65. Gao Juan,Li Feng. A research on simulation of electronic circuits based on multisim[J]. Journal of Qingdao Vocational Technical College,2006,19( 2) : 63-65. ( in Chinese)
[7]禹思敏. 混沌系统与混沌电路- 原理、设计及其在通信中的应用[M]. 西安: 西安电子科技大学出版社,2011: 609. Yu Simin. Chaotic Systems and Chaotic Circuits-Principle,Design and its Application in communications[M]. Xi’an: Xidian University Publishing House,2011: 609. ( in Chinese)

相似文献/References:

[1]张海龙,闵富红,王恩荣,等.关于Lyapunov指数计算方法的比较[J].南京师范大学学报(工程技术版),2012,12(01):005.
 Zhang Hailong,Min Fuhong,Wang Enrong.The Comparison for Lyapunov Exponents Calculation Methods[J].Journal of Nanjing Normal University(Engineering and Technology),2012,12(03):005.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 51075272) 、江苏省普通高校自然科学研究计划( 08KJB510006) .通讯联系人: 闵富红,博士,副教授,研究方向: 混沌系统同步与控制. E-mail: minfuhong@ njnu. edu. cn
更新日期/Last Update: 2013-03-11