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