Stepwise transition to higher degrees of coherence in a random network of phase oscillators
Institute of Physics, Academia Sinica - Taipei 11529, Taiwan
Received: 25 April 2012
Accepted: 15 June 2012
We consider a model system of phase oscillators which are connected in a random network. The network favors the connection of oscillators with close values of phases. We extend the order parameter used in the study of synchronization of phase oscillators and define generalized order parameters for the model system. We investigate the equilibrium properties of the model and reveal a phenomenon of stepwise transitions to higher degrees of coherence as the system goes through a series of second-order phase transitions for the order parameters. We also discuss a possible realization of the model in real physical systems.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 64.60.Cn – Order-disorder transformations / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2012