时滞耦合van der Pol-Duffing振子环的动力学分析
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

国家自然科学基金资助项目(11472097和11872169),河海大学中央高校基本科研业务费专项资金项目(2018B17514)


Dynamics of a ring of coupled van der Pol-Duffing oscillators with time delays
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    研究含时滞的大规模van der PolDuffing耦合振子系统的非线性动力学. 通过讨论特征方程根分布情况确定系统的稳定性,并在耦合时滞和强度平面上给出振幅死亡区域. 结合数值算例,揭示同步和异步周期振荡、概周期运动以及混沌吸引子等现象. 基于非线性振子电路和时滞电路,构建电路实验平台,有效验证理论和数值结果. 研究结果表明,时滞可以显著影响系统动力学特性,如诱发振幅死亡、稳定性切换以及复杂振荡等.

    Abstract:

    The dynamic behaviors of a delaycoupled ring of van der PolDuffing oscillators were studied. The stability and bifurcation of the system were determined by solving the associated characteristic equation. The parametrical regions of amplitude death were shown in the plane of time delay and coupling strength. Case studies were carried out by numerical simulations, which were validated by circuit experiments. It was shown that time delay can give rise to abundant and interesting behaviors, such as amplitude death, different periodic oscillations, quasiperiodic responses, and even chaotic attractors.

    参考文献
    相似文献
    引证文献
引用本文

施添添,茅晓晨.时滞耦合van der Pol-Duffing振子环的动力学分析[J].动力学与控制学报,2019,17(3):264~269; Shi Tiantian, Mao Xiaochen. Dynamics of a ring of coupled van der Pol-Duffing oscillators with time delays[J]. Journal of Dynamics and Control,2019,17(3):264-269.

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2018-10-12
  • 最后修改日期:2018-12-12
  • 录用日期:
  • 在线发布日期: 2019-06-27
  • 出版日期:

微信公众号二维码

手机版网站二维码