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. 2009 Sep 4;5(9):e1000493. doi: 10.1371/journal.pcbi.1000493

Figure 3. Inline graphic skewness controls phase-locking regimes and transitions.

Figure 3

The three panels A-B-C show triangular Inline graphic functions with different skewness with their peaks at Inline graphic where Inline graphic is a phase shift that results from the cable coupling. The oscillators are identical so that Inline graphic. A: Right-skewed Inline graphic with Inline graphic (solid black line) plotted from left to right for three values of Inline graphic together with the corresponding Inline graphic (dashed blue line). Below each graph Inline graphic is plotted (green lines) with the stable (black dots) and unstable (red dots) phase-locked solutions. The lower right panel shows the bifurcation diagram with the stable (solid black line) and unstable (dotted red line) phase-locked solutions. The right-skewed Inline graphic yields gradual transitions between the in-phase and anti-phase solutions. B: Symmetrical Inline graphic with Inline graphic yields abrupt transitions between in-phase and anti-phase solutions. C: Left-skewed Inline graphic with Inline graphic yields bistable regions where both the in-phase and the anti-phase solution are stable.