Frequency-response identification of structure of nonlinear systems

This paper outlines the development of the most general representation of a system incorporating only one nonlinear element, and establishes a direct relationship between the pattern of the frequency response and the structure for systems incorporating one nonlinear element having a single-valued odd characteristic. The patterns of frequency response obtained from digital simulations of a number of nonlinear systems illustrate the efficacy of this relationship in identifying the structure of such systems.