The dynamics of coupled oscillators

Abstract
We consider a population of coupled oscillators characterized by a limit cycle. The analysis is developed by means of analogue simulation that allows us to obtain a wide overview of the dynamics as a function of the intensity of coupling. We found behaviours such as synchronisation, transient phase locking and cluster formation. The global quantity corresponding at the sum of the amplitudes was considered as an indicator of the dynamics. An interesting property of this quantity is the presence of a maximum of fluctuations corresponding to a special intensity of the coupling.