Archivio Istituzionale della RicercaWe discuss the effect of the estimation of the amplitude variations on the noise induced frequency shift in nonlinear oscillators. The analysis is based on a general reduction approach to a phase macromodel making use of the Ito interpretation of the stochastic differential equations representing noisy autonomous systems. We show that a significant improvement of the accuracy can be obtained by using the average value of the amplitude component determined from a linearization of the amplitude equation.
Influence of amplitude fluctuations on the noise-induced frequency shift of noisy oscillators / Bonnin, Michele; Traversa, Fabio Lorenzo; Bonani, Fabrizio. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. II, EXPRESS BRIEFS. - ISSN 1549-7747. - STAMPA. - 63:7(2016), pp. 698-702. [10.1109/TCSII.2016.2532098]
Influence of amplitude fluctuations on the noise-induced frequency shift of noisy oscillators
BONNIN, MICHELE;TRAVERSA, Fabio Lorenzo;BONANI, Fabrizio
2016
Abstract
We discuss the effect of the estimation of the amplitude variations on the noise induced frequency shift in nonlinear oscillators. The analysis is based on a general reduction approach to a phase macromodel making use of the Ito interpretation of the stochastic differential equations representing noisy autonomous systems. We show that a significant improvement of the accuracy can be obtained by using the average value of the amplitude component determined from a linearization of the amplitude equation.
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https://hdl.handle.net/11583/2644336
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