https://doi.org/10.1140/epjb/e2009-00194-3
Synchronization of multi-phase oscillators: an Axelrod-inspired model
Consejo Nacional de Investigaciones Científicas y
Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400
Bariloche, Río Negro, Argentina
Corresponding author: a kuperman@cap.cnea.gov.ar
Received:
20
November
2008
Revised:
8
May
2009
Published online:
3
June
2009
Inspired by Axelrod's model of culture dissemination, we introduce and analyze a model for a population of coupled oscillators where different levels of synchronization can be assimilated to different degrees of cultural organization. The state of each oscillator is represented by a set of phases, and the interaction – which occurs between homologous phases – is weighted by a decreasing function of the distance between individual states. Both ordered arrays and random networks are considered. We find that the transition between synchronization and incoherent behaviour is mediated by a clustering regime with rich organizational structure, where any two oscillators can be synchronized in some of their phases, while their remain unsynchronized in the others.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 87.23.Ge – Dynamics of social systems / 89.75.Fb – Structures and organization in complex systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009