On quasiperiodic oscillations of a nonlinear dynamic system of Liapunov type with time lag

Abstract

The paper is concerned with the investigation of the quasiperiodic oscillations of a nonlinear dynamic system of Liapunov type with time lag. The following results are obtained:

- The necessary and sufficient conditions for the existence of the quasiperiodic solution describing the oscillating processes.

- The approximate quasiperiodic solution in the power series.

- The quasiperiodic oscillations of a nonlinear dynamic system of Duffing type with the quasiperiodic perturbations.