Asymptotic modeling of nonautonomous quasilinear systems in resonance cases with integral varieties

Abstract

Mathematic model of dynamic system which described by nonautonomous quasilinear differential equations is researched. It is assumed that ratio with rational factors is available for fundamental frequencies and frequencies of disturbing forces. Integral varieties in special form are used for research of such systems. The method of choice of polynomial independent integrals of generating systems in resonance cases is underlined.