Volume 95, Number 6, September 2011
|Number of page(s)||6|
|Published online||08 September 2011|
The Kuramoto model with distributed shear
Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria - 39005 Santander, Spain, EU
2 Department of Information and Communication Technologies, Universitat Pompeu Fabra 08003 Barcelona, Spain, EU
Accepted: 9 August 2011
We uncover a solvable generalization of the Kuramoto model in which shears (or nonisochronicities) and natural frequencies are distributed and statistically dependent. We show that the strength and sign of this dependence greatly alter synchronization and yield qualitatively different phase diagrams. The Ott-Antonsen ansatz allows us to obtain analytical results for a specific family of joint distributions. We also derive, using linear stability analysis, general formulae for the stability border of incoherence.
PACS: 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.