jBillou edited Measuring distances on the phase plane.tex  about 9 years ago

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\subsection{Measuring distances to the attractor}  For given parameters the deterministic attractor of the system is a closed curve in the phase plane, that can be written in parametric form as $(\theta,\phi)=\Gamma(k)$ with $k \in [0,1]$ and $\Gamma(0) = \Gamma(1)$. We measured the distance $D$ between a particular cell trace $(\theta_t,\phi_t)$ and the attractor  as : \begin{equation}  D = 1/N_t \sum_{t=1}^{N_t} \min_k \| \Gamma(k)-(\theta_t,\phi_t)\|