English

From the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky equation

Adaptation and Self-Organizing Systems 2014-01-15 v1 Chaotic Dynamics

Abstract

We derive the Kuramoto-Sivashinsky-type phase equation from the Kuramoto-Sakaguchi-type phase model via the Ott-Antonsen-type complex amplitude equation and demonstrate heterogeneity-induced collective-phase turbulence in nonlocally coupled individual-phase oscillators.

Keywords

Cite

@article{arxiv.1401.3089,
  title  = {From the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky equation},
  author = {Yoji Kawamura},
  journal= {arXiv preprint arXiv:1401.3089},
  year   = {2014}
}

Comments

6 pages, 4 figures