A general method to predict the amplitude of oscillation in nearly-sinusoidal oscillators
Maggio, Gian Mario
De Feo, Oscar
Kennedy, Michael Peter
In this paper, a general methodology for predicting the amplitude of oscillation in nearly sinusoidal oscillators is presented. The method relies on the recently proposed projection technique for the computation of the center manifold and on the Hopf normal form theory to approximate the corresponding limit cycle in state space. The Colpitts oscillator is selected as a case study and, for this circuit, a closed-form expression for the amplitude of oscillation is derived as a function of the circuit parameters.
Center manifold theorem , Colpitts oscillator , Hopf normal form theorem , Oscillation amplitude
Maggio, G.M., de Feo O. and Kennedy, M.P. (2004) 'A general method to predict the amplitude of oscillaton in nearly-sinusoidal oscillators'. IEEE Transactions On Circuits and Systems I-Regular Papers, 51 (8):1586-1595.
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