时滞Duffing方程稳定极限环的无界序列：一个精确分析
Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis
摘要：
证明了时滞Duffing方程$\ddot{x}(t)+x(t-T)+x^3(t)=0$具有无穷无界的快速振荡的渐近稳定的周期解序列，对于固定的时滞使得$T^2<\tfrac{3}{2}π^2$ .与以前的几个涉及近似解的工作相比，这里的处理是精确的。
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。
