Abstract. 
In this talk, I will describe the dynamics of a model of
coupled oscillators inspired by recent experiments on synchronisation in
colonies of genetic circuits. The model is sufficiently simple that the
global dynamics can be fully described for any parameter value, yet this
dynamics is rather non-trivial. In particular, as the coupling intensity
increases, the system abruptly switches from a regime where populations
can remain arbitrarily dispersed for all times, to a regime of massive
clustering on aggregates of extensive size.
(Joint work with L. Tsimring)