3 years ago

Microscopic correlations in the Kuramoto model of coupled oscillators.

F. Peter, C. Gong, A. Pikovsky

In the Kuramoto model of globally coupled phase oscillators with different frequencies, the oscillators separate into two groups: an ordered one locked to the mean field and a disordered one. We show that this picture, derived in the thermodynamic limit of large populations, is not exact for finite ensembles, where the mean field fluctuates. We demonstrate that these fluctuations lead to cross-correlations in the disordered group. The theory, based on the approximation of the mean field fluctuations by white noise, agrees well with our observations for finite ensembles.

Publisher URL: http://arxiv.org/abs/1901.02779

DOI: arXiv:1901.02779v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.