Про коливання істотно нелінійного осцилятора

Abstract

Free oscillations of anessentially nonlinear oscillator are considered under the assumption that the elastic force is proportional to the fifth degree of deformation of its spring. Two forms of the analytical solution of the nonlinear differential equation that describe the motion of the oscillator in time using known tables of an incomplete elliptic integral of the first kind and using a compiled table of periodic Ateb-functions are obtained.