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jBillou edited Deterministic phase portrait.tex
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\subsection{Deterministic phase portrait}
The resulting phase portrait shows several 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. The important observation that, on average, the circadian intervals with divisions are shorter that the one without divisions \ref{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
Two trajectories showing the effect of the decelleration region are shown in Figure \ref{fig:someTraces}.