the physical nature of the oscillators, and thus it can be used in other oscillator systems where synchronisation and phase locking has been observed [@Pit].

The ideas for the model presented here originated from the Andronov [@And; @OlMe] model of the phase-space limit cycle of isolated clocks, and assumes the exchange of single impacts (travelling solitons, for this system) between the oscillators at a specific point of the limit cycle.

The fundamental hypotheses in this article are the existence of an asymptotically stable limit cycle for each oscillator and one very small interaction between each pair of clocks per cycle.

We point out that in [@OlMe] the authors obtained phase opposition, which is in line with the original Huygens observations [@Huy]. In this paper we obtain a particularly symmetric asymptotic state at which all the clocks remain at a phase difference of $\frac{2\pi}{3}$ between each other.

A natural step forward is to generalise the results obtained here to a larger set of oscillators and apply these results to bidimensional and tridimensional swarms of oscillators. The results of the present work can be used, namely, to study interacting insects or neuronal networks, that have been studied using the over-simplified integrate and 