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\subsection{Deterministic phase portrait}  The resulting phase portrait shows several features, features;  the deterministic attractor (blue, Figure \ref{fig:phasePortrait}) adopts a 1:1 mode locked state, with a circadian phase at division of about $0.75 \times 2\pi$. As the interaction regions are quite localized in the phase plane, the attractor attracts trajectories only around two regions. The first one, centered around $(0.75,1)$, shows a slow down of the circadian phase before the division, followed by an acceleration just after the division. Both effect take occur only around a window in which the circadian clock seems sensitive to perturubations. The important observation that, on average, the circadian intervals with divisions are shorter that the one without divisions \cite{bieler2014}, suggests that the acceleration is more impactful on the overall circadian duration, or that the stochastic attractor doesn't fully go through the slow down region. The second region, close to the origin of the plane, correspond to divisions occuring early after a circadian peak. As the deterministic attractor do not go through this region, traces usually do not explore that interaction.