Abstract—Van der Pol equations describing self-oscillations in a quasilinear one-dimensional oscillator are generalized to the case when the generating isotropic oscillator has an arbitrary number of degrees of freedom. Two-dimensional (flat) and three-dimensional (spatial) cases are specifically considered. In contrast to the classical problem, in which a given amplitude of oscillations was stabilized, in the general case it is possible to stabilize not only the oscillation energy, but also the area of a flat elliptical trajectory, its orientation in space, the frequency of the oscillatory process, etc.The technical applications of the respective models are indicated.

中文翻译：

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范德波尔振荡器。技术应用

摘要—描述拟线性各向同性振荡器具有任意数量的自由度的情况下，泛化了描述拟线性一维振荡器中自激振荡的Van der Pol方程。特别考虑了二维（平面）和三维（空间）情况。与经典问题相反，在经典问题中，给定的振幅得到稳定，在一般情况下，不仅可以稳定振荡能量，而且可以稳定扁椭圆形轨迹的面积，其在空间中的方向，频率的稳定。说明了各个模型的技术应用。