Investigation of forced vibrations of a linear system with two degrees of freedom and a small parameter by the Lyapunov-Schmidt method

The article is devoted to finding periodic solutions to linear systems with two degrees of freedom and a small parameter by the Lyapunov-Schmidt method. On the basis of the Lyapunov-Schmidt method, an algorithm was developed in the Maple package, graphs of the components of periodic solutions and phase trajectories of the disturbed system were constructed.