this is for holding javascript data
jBillou edited Measuring distances on the phase plane.tex
about 9 years ago
Commit id: 9c453cbf156307673f0fcff175cc2ca3fd3c8e42
deletions | additions
diff --git a/Measuring distances on the phase plane.tex b/Measuring distances on the phase plane.tex
index 3460455..963bc32 100644
--- a/Measuring distances on the phase plane.tex
+++ b/Measuring distances on the phase plane.tex
...
\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)\|