近碰撞振子渐近稳定周期解的分支
Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators
摘要：
本文用平均法证明了一个弹簧刚度接近无穷大的双线性振子的渐近稳定周期解的分岔。这导致了一个奇异摄动问题的经典理论不适用。
英文摘要：
We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads to a singularly perturbed problem where the classical theory does not apply.
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。
