Approximate analysis of non-linear systems by Laplace transform

Abstract The possibilities of extending the Laplace transform method to the domain of non-linear systems analysis is discussed in this paper. The equation representing a given non-linear system is first transformed from the time domain to a multidimensional frequency domain by introducing the concept of a generalized transfer function. Transformation from the multidimensional domain to a domain of a single dimension is obtained by the technique of association of variables. Time domain response is then found by inverse Laplace transformation.