Dynamical stabilization of an inverted pendulum through vertical movement of the pivot is a well-known counter intuitive phenomenon in classical mechanics. This system is also known as Kapitza pendulum and the stability can be explained with the aid of effective potential. We explore the effect of many body interaction for such a system. Our numerical analysis shows that interaction between pendula generally degrades the dynamical stability of each pendulum. This effect is more pronounced in nearest neighbour coupling than all-to-all coupling and stability improves with the increase of the system size. We report development of beats and clustering in network of coupled pendula.

通过枢轴的垂直运动实现倒立摆的动态稳定是经典力学中众所周知的反直觉现象。该系统也称为Kapitza摆，其稳定性可以借助有效电势来解释。我们探索了这种系统的许多身体相互作用的影响。我们的数值分析表明，摆之间的相互作用通常会降低每个摆的动力稳定性。这种影响在最近的邻居耦合中比所有对所有耦合更明显，并且稳定性随着系统大小的增加而提高。我们报告节拍的发展和耦合摆的网络聚类。