期刊文献+

基于9阶van der Pol方程的三稳态电路设计及实现 被引量:2

Design and Implementation of Tri-Stable Circuit Based on the Ninth-Order van der Pol Equation
下载PDF
导出
摘要 基于9阶van der Pol方程的分岔结果,设计了1个平衡点和2个极限环共存的三稳态电路.利用平均法分析了9阶van der Pol方程的分岔性质,设计了能够实现三稳态现象的无量纲方程的系统参数.根据基尔霍夫电路定理,利用运算放大器和模拟乘法器等元件,构建了9阶van der Pol方程的电路原理图,并通过PSpice仿真和硬件电路试验验证了该电路的可行性和可靠性.试验结果表明,该电路系统中有1个稳定平衡点与2个稳定极限环共存的现象,为研究确定性激励以及随机激励下三稳态系统的动力学行为奠定了基础. A kind of tri-stable circuit with one stable equilibrium point and two stable limit cycles was designed based on the bifurcation analysis of the ninth-order van der Pol equation. By using the averaging method,the bifurcation properties of the ninth-order van der Pol equation were analyzed,and the dimensionlessequation parameters which could achieve the tri-stable phenomena were designed. According to Kirchhoff laws,the circuit diagram of the ninth-order van der Pol equation was constructed with such elements as operational amplifiers,analog multiplier,etc. The feasibility and reliability of the circuit were verified by PSpice simulation and hardware experiments. The resultsshow that the proposed circuit system does have one stable equilibrium point and two stable limit cycles,which laysa foundation for further study on the dynamic behaviors of tri-stable system under deterministic excitation and random excitation.
出处 《天津大学学报(自然科学与工程技术版)》 EI CSCD 北大核心 2016年第7期709-715,共7页 Journal of Tianjin University:Science and Technology
基金 国家自然科学基金资助项目(11372211)
关键词 三稳态电路 VAN der POL方程 PSPICE仿真 tri-stable circuit van der Pol equation PSpice simulation
  • 相关文献

参考文献11

  • 1van der Pol B. Forced oscillations in a circuit with nonlinearresistance (Receptance with reactive triode)[J].Edingburg and Dublin Phil,1927,3(13):65-80.
  • 2郝颖,吴志强.三稳态Van der Pol-Duffng振子的随机P分岔[J].力学学报,2013,45(2):257-264. 被引量:12
  • 3Zakharova A,Vadivasova T,Anishchenko V,et al.Stochastic bifurcations and coherencelike resonance in aself-sustained bistable noisy oscillator[J]. Physical ReviewE:Statistical,Nonlinear,and Soft Matter Physics,2010,81(1):1-6.
  • 4Chua L O. The genesis of Chua's circuit[J]. Archiv ElektronikUbertragungstechnik,1992,46(4):250-257.
  • 5唐志凯,刘隆和,姜永华,郝媛,杜文超.Van der Pol振荡器的模拟仿真[J].现代雷达,2007,29(5):89-92. 被引量:3
  • 6Lu Y,Chen M,Huang X. Synchronizing Chaos inmemristor based van der Pol oscillation circuits[C]//Proceedings of 2014 International Power Electronics andApplication Conference and Exposition(IEEE PEAC).Shanghai,China,2014:1154-1158.
  • 7Feoktistov A V,Anishchenko V S. Coherence resonanceand synchronization of stochastic self-sustained oscillationsin hard excitation oscillator[J]. Nelineinaya Dinamika,2012,8(5):897-911.
  • 8Zakharova A,Feoktistov A,Vadivasova T,et al. Coherenceresonance and stochastic synchronization in anonlinear circuit near a subcritical Hopf bifurcation[J].The European Physical Journal Special Topics,2013,222(10):2481-2495.
  • 9Datardina S P,Linkens D. Multimode oscillations inmutually coupled van der Pol type oscillators with fifthpowernonlinear characteristics[J]. IEEE Transactions onCircuits and Systems,1978,25(5):308-315.
  • 10Palumbo G,Pennisi M,Pennisi S. Exploitation of thephasor approach for closed-form solution of the van derPol's oscillator and sinusoidal oscillators with high-ordernonlinearity[C]//16th IEEE International Conference onElectronics,Circuits,and Systems. Yasmine Hammamet,Tunisia,2009:155-158.

二级参考文献10

共引文献13

同被引文献4

引证文献2

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部