English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider two coupled phase oscillators in the presence of proportional("common") and independent white noises. The global synchronization propertiesof the system are analytically studied via the Fokker-Planck equation. When the"effective coupling" is big compared to the common noises, the former favorsand the latter hinder synchronization. On the contrary, when the coupling issmall compared to the proportional noises, we find that the latter inducesynchronization, optimally when their intensities are big and in the n:msynchronization ratio. Furthermore, in such case a small value of the couplingis better for synchronization. Finally, we show that synchronization, which isa global property, must not be studied via local stability such as withLyapunov exponents.

Interplay between couplings and common noise in phase synchronization: disagreement between global analysis and local stability characterization