International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 3, Pages 535-547
doi:10.1155/S0161171280000403

Steady state response of a nonlinear system

Abstract

This paper presents a method of the determination of the steady state response for a class of nonlinear systems. The response of a nonlinear system to a given input is first obtained in the form of a series solution in the multidimensional frequency domain. Conditions are then determined for which this series solution will converge. The conversion from multidimensions to a single dimension is then made by the method of association of variables, and thus an equivalent linear model of the nonlinear system is obtained. The steady state response is then found by any technique employed with linear system.