近弹性系统的亚稳定性
On metastability in nearly-elastic systems
摘要：
我们考虑一个近似弹性模型系统的一个自由度。在与“墙”的每次碰撞中，由于随机扰动，系统可以损失或获得少量能量。计算了图上的随机过程慢运动的弱极限。讨论了系统的大偏差型渐近性和亚稳定性。
英文摘要：
We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.
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。
