Abstract—

This article proposes a model that generalizes the well-known equations of the nonlinear theory of oscillations (Van der Pol and Rayleigh equations), the limit cycles of which are the curves of the phase plane, determined by the total energy of oscillations in the absence of dissipation/energy inflow into the system. By changing the parameters of the system and the type of force action, it is possible to set the oscillation characteristics that are resistant to disturbances. The phase portraits of the system are considered, including the case of multiply connected limit cycles.

中文翻译：

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自动振荡系统类别

摘要-

本文提出了一个模型，该模型可以概括振荡的非线性理论的著名方程（Van der Pol和Rayleigh方程），其极限环是相平面的曲线，由不存在时的振荡总能量决定耗散/能量流入系统的数量。通过更改系统的参数和作用力的类型，可以设置抗干扰的振荡特性。考虑系统的相图，包括多重连接的极限环的情况。