locked oscillations) and symmetric pair of 1:1 rotations respectively. From the practical point of view(certainty reaching the desired attractor) such a situation is very useful and rare in nonlinear system. We also compare the influence of nonlinearity of spring on the amplitude of oscinations For prindrul resonance, strong nonlinearity(hardening softening) causes lower a resonance only the of direction causes the decrease of the oscillations amplitude. The existence offractal basins ofattraction is not surprising for