| 时滞Rucklidge系统Hopf分岔分析与电路实现 |
| |
| 引用本文： | 何宏骏,崔岩,孙观.时滞Rucklidge系统Hopf分岔分析与电路实现[J].计算力学学报,2019,36(4):542-547. |
| |
| 作者姓名： | 何宏骏 崔岩 孙观 |
| |
| 作者单位： | 上海工程技术大学 机械与汽车工程学院, 上海 201620,上海工程技术大学 机械与汽车工程学院, 上海 201620,上海工程技术大学 机械与汽车工程学院, 上海 201620 |
| |
| 基金项目： | 国家自然科学基金（11604205）资助项目. |
| |
| 摘 要： | 以一类新的单时滞Rucklidge系统为分析对象，通过计算时滞系统的平衡点，分析该系统在各平衡点的稳定性和Hopf分岔的存在性，得到其发生Hopf分岔的条件。Matlab多组数值仿真验证了理论分析的正确性。基于此设计了一种可切换时滞与非时滞的混沌电路，并运用Multisim14.0进行仿真，实验结果表明，该电路可行且有效。
|
| 关 键 词： | Rucklidge系统 时滞 Hopf分岔 电路仿真 |
| 收稿时间： | 2018/6/20 0:00:00 |
| 修稿时间： | 2018/7/25 0:00:00 |
Time-daley Rucklidge system Hopf bifurcation analysis and circuit simulation |
| |
| HE Hong-jun,CUI Yan,SUN Guan.Time-daley Rucklidge system Hopf bifurcation analysis and circuit simulation[J].Chinese Journal of Computational Mechanics,2019,36(4):542-547. |
| |
| Authors: | HE Hong-jun CUI Yan SUN Guan |
| |
| Institution: | School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China,School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China and School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China |
| |
| Abstract: | We take a new type of single-delay Rucklidge system as the analysis subject and analyse the stability of the system and the existence of Hopf bifurcation by calculating the equilibrium point of the time-delay system,and the conditions of Hopf bifurcation are obtained.Matlab multi-group numerical simulation verified the correctness of theoretical analysis.Based on this,a chaotic circuit with switchable time-delay and without time-delay is designed and simulated by Multisim14.0.The experimental results show that the circuit is feasible and effective.At present,there are few relevant papers on the time-delay Rucklidge system.We verify the physical achievability of the time-delay Rucklidge system in this report and provide a reference for its application in the field of secure communication. |
| |
| Keywords: | Rucklidge system time-delay Hopf bifurcation circuit simulation |
|
| 点击此处可从《计算力学学报》浏览原始摘要信息 |
| 点击此处可从《计算力学学报》下载免费的PDF全文 |
|
