The elements characterizing the forced and parametric excitations

In nonlinear systems, the first order of smallness terms of quadratic nonlinearity and the forced excitation with nonresonance frequency and the second order of smallness terms of linear friction, cubic nonlinearity, forced and parametric excitation with resonance frequencies have no effect on the oscillation in the first approximation.

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In nonlinear systems, the first order of smallness terms of nonresonance forced and parametric excitations have no effect on the oscillation in the first approximation. However, they do interact one with another in the second approximation.

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