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Nonlinearity and characteristics diagnosis of nonlinear dynamic systems subjected to external excitations are studied in this research.Diagnoses of regular and chaotic responses of nonlinear dynamic systems are performed with the implementation of a newly developed Periodicity Ratio [1,2] in combining with the application of Lyapunov Exponent.The properties of the nonlinear dynamics systems are classified into four categories: periodic, irregular-nonchaotic, quasiperiodic and chaotic, each corresponding to their Periodicity Ratios.