|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'503'724
Articles rated: 2609
23 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
A mathematical framework for amplitude and phase noise analysis of coupled oscillators | | Michele Bonnin
; Fernando Corinto
; Valentina Lanza
; | | Date: |
7 May 2019 | | Abstract: | Synchronization of coupled oscillators is a paradigm for complexity in many
areas of science and engineering. Any realistic network model should include
noise effects. We present a description in terms of phase and amplitude
deviation for nonlinear oscillators coupled together through noisy
interactions. In particular, the coupling is assumed to be modulated by white
Gaussian noise. The equations derived for the amplitude deviation 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 of the oscillators. | | Source: | arXiv, 1905.3186 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER