Skip to Main content Skip to Navigation
Journal articles

Noise-induced phase slips, log-periodic oscillations, and the Gumbel distribution

Abstract : When two synchronised phase oscillators are perturbed by weak noise, they display occasional losses of synchrony, called phase slips. The slips can be characterised by their location in phase space and their duration. We show that when properly normalised, their location converges, in the vanishing noise limit, to the sum of an asymptotically geometric random variable and a Gumbel random variable. The duration also converges to a Gumbel variable with different parameters. We relate these results to recent works on the phenomenon of log-periodic oscillations and on links between transition path theory and extreme-value theory.
Complete list of metadatas

Cited literature [59 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00967427
Contributor : Nils Berglund <>
Submitted on : Thursday, October 2, 2014 - 2:50:10 PM
Last modification on : Thursday, February 7, 2019 - 4:47:15 PM
Document(s) archivé(s) le : Saturday, January 3, 2015 - 11:00:59 AM

File

ihp14_rev.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00967427, version 2

Collections

Citation

Nils Berglund. Noise-induced phase slips, log-periodic oscillations, and the Gumbel distribution. Markov Processes And Related Fields, Polymat Publishing Company, 2016, 22 (3), pp.467-505. ⟨hal-00967427v2⟩

Share

Metrics

Record views

331

Files downloads

103