On the Bifurcation of Cycle Generation from Focus in the Dynamic Systems with the Simplest Symmetry

摘要

The periodic solution as the finite section of the series for the dynamic systems with the simplest symmetry has been constructed by the method of Lyapunov-Poincare-Malkin. The main parts of nonlinearities of those systems are of the third order. The expansion terms are periodic functions of time. The approximations of stable and nonstable limit cycles are obtained by applying the operator of averaging.