Eur. Phys. J. B (2015) 88: 254
https://doi.org/10.1140/epjb/e2015-60314-0

Regular Article

Clustering and phase synchronization in populations of coupled phase oscillators

¹ Centro Atómico Bariloche, Bariloche, 8400 Río Negro, Argentina
² Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, Argentina

^a e-mail: gcascallares@cab.cnea.gov.ar

Received: 21 April 2015
Received in final form: 21 August 2015
Published online: 12 October 2015

Abstract

In many species daily rhythms are endogenously generated by groups of coupled neurons that play the role of a circadian pacemaker. The adaptation of the circadian clock to environmental and seasonal changes has been proposed to be regulated by a dual oscillator system. In order to gain insight into this model, we analyzed the synchronization properties of two fully coupled groups of Kuramoto oscillators. Each group has an internal coupling parameter and the interaction between the two groups can be controlled by two parameters allowing for symmetric or non-symmetric coupling. We show that even for such a simple model counterintuitive behaviours take place, such as a global decrease in synchrony when the coupling between the groups is increased. Through a detailed analysis of the local synchronization processes we explain this behaviour.