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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:
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:国家杰出青年科学基金
作者单位E-mail
何宏骏 上海工程技术大学 hansonhh@foxmail.com 
崔岩 上海工程技术大学 cuiyan0312@126.com 
孙观 上海工程技术大学  
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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,该电路是可行且有效。
英文摘要:
      We take a new type of single-delay Rucklidge system as the analysis object and analysis 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 non-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 related literatures on the time-delay Rucklidge system. We verifies the physical achievability of the time-delay Rucklidge system in this report and provides a reference for its application in the field of secure communication.
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