Fig. 3 | Nature Communications

Fig. 3

From: Chaos as an intermittently forced linear system

Fig. 3

Eigen-time-delay coordinate v 1 of the Lorenz system, colored by the activity of the forcing v r , for r = 11. When the forcing is active (red), the trajectory is about to switch, and when the forcing is inactive (gray), the solution is governed by predominantly linear dynamics corresponding to orbits around one attractor lobe. The forcing is active when \(\left| {{v_r}} \right| >0.002\); this threshold was chosen by trial and error, although it could be varied to sweep out a receiver operating characteristic (ROC) curve to determine the optimal value based on desired sensitivity and specificity