1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems -- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues -- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study -- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum -- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions -- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems -- 15 Summary and Overview.- References. 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems -- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues -- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study -- 11 Mapping from ParametricCharacteristics to the GFRFs and Output Spectrum -- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions -- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems -- 15 Summary and Overview.- References.