Amplitude and phase equations for nonlinear oscillators with noisy interactions

Conference: CNNA 2016 - 15th International Workshop on Cellular Nanoscale Networks and their Applications
08/23/2016 - 08/25/2016 at Dresden, Deutschland

Proceedings: CNNA 2016

Pages: 2Language: englishTyp: PDF

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Bonnin, Michele; Corinto, Fernando (Department of Electronics and Telecommunications Politecnico di Torino, Turin, Italy)
Lanza, Valentina (Normandie University ULH, LMAH, CNRS 3335, ISCN, Le Havre, Franc)

We give a description in terms of phase and amplitude deviation for networks of nonlinear oscillators with noise. The case of white Gaussian noise is considered. The equations for the amplitude and the phase are rigorous, and their validity is not limited to the weak noise limit. We show that using Floquet theory, a partial decoupling between the amplitude and the phase is obtained. The decoupling can be exploited to describe the oscillator’s dynamics solely by the phase variable. We discuss to what extent the reduced model is appropriate and some implications on the role of noise on the frequency and the synchronization of the oscillators.