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

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.

6 pages, 4 figures

References in corpus (5)

• Synchronization in complex networks
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Noise-induced Turbulence in Nonlocally Coupled Oscillators
• Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless non-identical case
• Phase synchronization between collective rhythms of globally coupled oscillator groups: noisy identical case

Cited by in corpus (4)

• Bumps and Oscillons in Networks of Spiking Neurons
• Synchrony-induced modes of oscillation of a neural field model
• Wave turbulence and collective behavior models for wave equations with short- and long-range interactions
• Density of instantaneous frequencies in the Kuramoto-Sakaguchi model