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EnglishAbstract: The Kuramoto model is a paradigm to describe the dynamics of nonlinear oscillators under the influence of external perturbations or couplings. It is based on the idea to reduce the state equations to a scalar differential equation, that defines the time evolution for the phase of the oscillator. In this paper we discuss the reduction procedure for nonlinear oscillators subject to stochastic perturbations. The result is that phase noise is a drift-diffusion process. It is shown that the unavoidable amplitude fluctuations do change the expected frequency, and the frequency shift depends on the amplitude variance. The theoretical results are illustrated with the help of an example.
Kuramoto-like model of noisy oscillators / Bonnin, Michele; Bonani, Fabrizio; Traversa, F. L.. - STAMPA. - (2017), pp. 1-4. ((Intervento presentato al convegno 2017 European Conference on Circuit Theory and Design (ECCTD) tenutosi a Catania, Italy nel 4-6 September 2017.
| Titolo: | Kuramoto-like model of noisy oscillators |
| Autori: | |
| Data di pubblicazione: | 2017 |
| Abstract: | Abstract: The Kuramoto model is a paradigm to describe the dynamics of nonlinear oscillators und...er the influence of external perturbations or couplings. It is based on the idea to reduce the state equations to a scalar differential equation, that defines the time evolution for the phase of the oscillator. In this paper we discuss the reduction procedure for nonlinear oscillators subject to stochastic perturbations. The result is that phase noise is a drift-diffusion process. It is shown that the unavoidable amplitude fluctuations do change the expected frequency, and the frequency shift depends on the amplitude variance. The theoretical results are illustrated with the help of an example. |
| ISBN: | 978-1-5386-3975-7 |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| ECCTD 17 Kuramoto.pdf | Articolo principale | 2. Post-print / Author's Accepted Manuscript | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
http://hdl.handle.net/11583/2689171
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