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

作　　者：何宏骏 崔岩[1] 孙观 HE Hong-jun;CUI Yan;SUN Guan(School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学机械与汽车工程学院

出　　处：《计算力学学报》2019年第4期542-547,共6页Chinese Journal of Computational Mechanics

基　　金：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。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.

关 键 词：Rucklidge系统 时滞 HOPF分岔 电路仿真 

分 类 号：O175.14[理学—数学] TM132[理学—基础数学]