The simple model of the Fermi-Pasta-Ulam problem

E. Fermi and colleagues have put forward the hypothesis of a nonlinear mechanism of thermalization in a spatially oscillating objects with nonlinear transfer of energy between modes. The conducted numerical experiments was observed asymptotic return of the energy in the original mode. In this work, on the example of a rather simple model, the result shows that there is a transfer between adjacent modes. As the model considers a set of mechanical collisions of the ball with a moving plane.