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The following sections are included:

  • Introduction. Classification of Systems with Fast Excitation. Weakly Excited Systems

  • Systems with Strong Excitation. General Analysis

  • Systems with Very Strong Excitation in a Special Case of Fast Oscillating Inertial Coefficients

  • Two Mathematical Examples of Systems with Strong Excitation

  • Response of a One Degree of Freedom System to Strong and Very Strong, High Frequency External and Parametric Excitation

  • Conclusions

  • References