| 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 |
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| 时滞Rucklidge系统Hopf分岔分析与电路实现 |
| Time-daley Rucklidge system Hopf bifurcation analysis and circuit simulation |
| 投稿时间：2018-06-20 修订日期：2018-07-25 |
| DOI：10.7511/jslx20180620001 |
| 中文关键词: Rucklidge系统 时滞 Hopf分岔 电路仿真 |
| 英文关键词:Rucklidge system time-delay Hopf bifurcation circuit simulation |
| 基金项目:国家自然科学基金（11604205）资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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