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fix sensitivity typo
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gabrieldansereau committed Aug 12, 2020
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Expand Up @@ -248,11 +248,11 @@ \section{Results}
\section{Discussion}

We were able to replicate the chaotic behaviour displayed by \citeauthor{hastings1991}'s model.
The resulting behaviour is indeed very sensible to the initial conditions, showing
The resulting behaviour is indeed very sensitive to the initial conditions, showing
increasingly diverging trajectories (\autoref{fig:fig3}) for slightly different parameters, as well
as unending oscillations (\autoref{fig:fig2}). The bifurcation diagrams (\autoref{fig:fig4}) further confirm
the existence of chaos by illustrating the presence of cyclic behaviour for some values
and chaotic intervals for others, hence the extreme sensibility of the system to $b_1$
and chaotic intervals for others, hence the extreme sensitivity of the system to $b_1$
values. As for the Poincaré sections (\autoref{fig:figS1} a,c), \citeauthor{hastings1991} plotted (x,y)
coordinates of points of the phase plots that theoretically coincided with the plane in
the "handle" of the teacup-shaped diagrams.
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