Method of radial drift for qualitative study of the properties of the nonlinear dynamic systems. I

The drift method of the present author was further developed. For qualitati ve study of some dynamic properties of the objects described by systems of nonautonomous nonlinear differential equations of an arbitrary order, the n otion of radial drift was introduced. In the first part, efficient sufficie nt conditions for instability of the equilibria of such objects were obtain ed using the radial drift method.