Skip to main content
Fig. 2 | BMC Systems Biology

Fig. 2

From: Detecting causality from short time-series data based on prediction of topologically equivalent attractors

Fig. 2

Illustration of topologically equivalent attractors and topologically equivalent position. The two attractors M X and M Y are reconstructed from the original system by lagged-coordinates of its components X and Y. These two reconstructed attractors are topological equivalent. There are two short time-series {P i } and {Q i }(i = 1, 2, ) on these two topologically equivalent attractors, respectively. And we call two points as topologically equivalent position, taking P 4 and Q 4 for example, if and only if the relative distance from P 4 and Q 4 to any other points on their corresponding attractors are invariant

Back to article page