Abstract

It is studied the model that generalizes the well-known equations of the nonlinear oscillation theory (Van der Pol and Rayleigh). The limit cycles of the model are determined by the total energy of the oscillation in the absence of dissipation/energy input into the system. In contrast to the traditional equations of self-oscillations, equations in the Lagrange form are used here. Phase portraits of limit cycles which can be used in engineering are constructed analytically and numerically.

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