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In this paper, we describe a numerical continuation method that enablesharmonic analysis of nonlinear periodic oscillators. This method is formulatedas a boundary value problem that can be readily implemented by resorting to astandard continuation package - without modification - such as AUTO, which weused. Our technique works for any kind of oscillator, including electronic,mechanical and biochemical systems. We provide two case studies. The firststudy concerns itself with the autonomous electronic oscillator known as theColpitts oscillator, and the second one with a nonlinear damped oscillator, anon-autonomous mechanical oscillator. As shown in the case studies, theproposed technique can aid both the analysis and the design of the oscillators,by following curves for which a certain constraint, related to harmonicanalysis, is fulfilled.

Harmonic analysis of oscillators through standard numerical continuation tools