Summary
The resonant behavior of two systems with a limited power supply (or so-called non-ideal systems) having three degrees of freedom is analyzed. Resonant steady states are constructed by the multiple scales method. The transient is presented using the two-point Padé approximants containing exponentials. Obtained analytical results are compared with a numerical simulation. It is shown that amplitudes of the resonance vibrations of the elastic sub-system can be essentially reduced by changing the system parameters.
