Fig. 8

Phase space views for the KE dynamics in the reduced module shown in Fig. 7 during the pocket rhythm. Top left: full three-dimensional slow phase space. Top right: projections onto the two two-dimensional planes where the trajectory lies. Bottom: single, combined two-dimensional representation. In all plots, black and red curves are projections of parts or all of the trajectory of a periodic pocket scratch solution, with bold black and thin red denoting times when EP is active and bold red and thin black times when ER is active. Green curves denote the fixed point curves for KE \(p_{\mathit {KE},\mathrm{R}}^{\mathrm {FP}}(\mathbf{s})\) (stable, solid), \(p_{\mathit {KE},\mathrm{M}}^{\mathrm {FP}}(\mathbf{s})\) (unstable, dashed), and \(p_{\mathit {KE},\mathrm{L}}^{\mathrm {FP}}(\mathbf{s})\) (stable, solid) (in order of increasing \(h_{\mathit {KE}}\)) while EP is active. Magenta curves denote the analogous curves of fixed points for KE while ER is active. The dark blue curve is the curve of jump down knees for KE while EP is active; cyan curves are jump down knees and jump up knees (larger \(h_{\mathit {KE}}\) values) for KE while ER is active. Finally, dashed black curves in the top right indicate points on the two projections that correspond to the same times, when the switches between the EP active phase and the ER active phase occur. Additional labeling on the top right indicates relevant structures defined above. Additional labeling on the bottom indicates key changes in activity of various populations throughout the rhythms. Gray tick marks indicate transitions from activity to silence. This labeling holds for all panels and future figures