This paper reports and investigates paradoxical simulation results of the bouncing ball system. Chaos-like motion of the bouncing ball system with intermittent chattering (Zeno behavior) is observed in simulations if the relative acceleration of the table exceeds a critical value. However, one can show that this is theoretically impossible. A detailed analysis is given by looking at the backward and forward dynamics of grazing solutions. It is shown in detail that a self-similar structure appears if the relative acceleration of the table exceeds the critical value.

中文翻译：

---

弹跳球系统中混沌状颤振的悖论模拟结果

本文报道并研究了弹跳球系统的矛盾模拟结果。如果工作台的相对加速度超过临界值，则会在模拟中观察到带有间歇性颤动的弹跳球系统的混沌运动（Zeno行为）。但是，可以证明这在理论上是不可能的。通过查看放牧解决方案的向前和向后动力学，可以进行详细的分析。详细显示，如果工作台的相对加速度超过临界值，则会出现自相似结构。