Glassy states and super-relaxation in populations of coupled phase oscillators.

ABSTRACT: Large networks of coupled oscillators appear in many branches of science, so that the kinds of phenomena they exhibit are not only of intrinsic interest but also of very wide importance. In 1975, Kuramoto proposed an analytically tractable model to describe these systems, which has since been successfully applied in many contexts and remains a subject of intensive research. Some related problems, however, remain unclarified for decades, such as the existence and properties of the oscillator glass state. Here we present a detailed analysis of a very general form of the Kuramoto model. In particular, we find the conditions when it can exhibit glassy behaviour, which represents a kind of synchronous disorder in the present case. Furthermore, we discover a new and intriguing phenomenon that we

SUBMITTER: Iatsenko D 

PROVIDER: S-EPMC4083435 | biostudies-literature | 2014 Jun

REPOSITORIES: biostudies-literature