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Design of Microwave Monolithic Integrated Circuits (MMIC's) is currently limited by the lack of suitable analysis and computer aided design tools capable of efficiently handling large-scale analog nonlinear circuits. In this paper we address this problem and present a new multi-frequency technique for the analysis of nonlinear circuits. A novel feature of the method is that nonlinear analysis is performed entirely in the frequency domain using a generalized power series. We show how this technique can be applied to the analysis of MESFET circuits and, as an example, we consider gain saturation in a GaAs MESFET amplifier.