中文

时滞 Duffing 方程中无界稳定极限环序列:一项精确分析

动力系统 2019-08-20 v1 混沌动力学

摘要

对于满足 T2<32π2T^2<\tfrac{3}{2}\pi^2 的固定时滞,时滞 Duffing 方程 x¨(t)+x(tT)+x3(t)=0\ddot{x}(t)+x(t-T)+x^3(t)=0 被证明拥有无限且无界的快速振荡、渐近稳定周期解序列。与若干涉及近似解的前期工作不同,此处处理是精确的。

关键词

引用

@article{arxiv.1908.06533,
  title  = {Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis},
  author = {Si Mohamed Sah and Bernold Fiedler and B. Shayak and Richard H. Rand},
  journal= {arXiv preprint arXiv:1908.06533},
  year   = {2019}
}

备注

16 pages, 8 figures