Duffing方程稳定周期解的衰减率
Rate of Decay of Stable Periodic Solutions of Duffing Equations
摘要：
本文考虑二阶Duffing型方程。给出了恢复力导数的界，保证了周期解的存在性和唯一性。此外，唯一周期解的稳定性进行了分析，确定了尖锐的指数衰减率的解决方案是接近唯一周期解。
英文摘要：
In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a periodic solution. Furthermore, the stability of the unique periodic solution is analyzed; the sharp rate of exponential decay is determined for a solution that is near to the unique periodic solution.
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。
