A mechanical system with n degrees of freedom subjected to the action of positional forces and a small smooth control is considered. It is assumed that in the absence of control, the system may have a family of single-frequency oscillations. A universal control—a nonlinear force that implements and simultaneously stabilizes a cycle in the system—is found. An illustrative example is given. In the previous paper [5], the universal control was designed for a two-dimensional manifold of the system.

中文翻译：

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稳定具有n个自由度的受控机械系统的振动

考虑具有n个自由度的机械系统，该机械系统受到位置力的作用，并且平滑控制较小。假设在没有控制的情况下，系统可能具有一系列的单频振荡。发现了通用控制（一种实现并同时稳定系统周期的非线性力）。给出一个说明性的例子。在先前的论文[5]中，通用控制是为系统的二维歧管设计的。