arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1908.06533math.DSnlin.CD
收藏

Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis

Si Mohamed Sah, Bernold Fiedler, B. Shayak, Richard H. Rand

英文摘要:

The delayed Duffing equation $\ddot{x}(t)+x(t-T)+x^3(t)=0$ is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions, for fixed delays such that $T^2<\tfrac{3}{2}π^2$. In contrast to several previous works which involved approximate solutions, the treatment here is exact.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑