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. Author manuscript; available in PMC: 2011 May 11.
Published in final edited form as: Europhys Lett. 2008 Sep 12;83(6):64005p1–64005p6. doi: 10.1209/0295-5075/83/64005

Figure 3.

Figure 3

(Color online) Solutions of eqs. (1) at av =0.5 with Neumann boundary conditions at x=0, x= 40 using different stimuliat t=0: (a) A=0.3, R=1, (b) A=0.3, R=0.4, both for Δ=0.1. Left panels: space-time plots with x along the vertical axis and time horizontally (dark colour indicates larger values of the u field). Middle panels: enlargement of the space-time plots in vicinity of the initial perturbation, x ∈ [0, 1], demonstrating (a) the initial growth of the disturbance in amplitude from u = u0 +A<0 to u ~ 1, followed by its decay when the initial perturbation is broad, and (b) the formation and eventual decay of a transient pacemaker when the initial perturbation is narrower; the dashed line in (b) is at x=0.25. Each oscillation of the pacemaker generates one pulse. Right panels: profiles of (a) single-pulse and (b) three-pulse states, both traveling without change towards the right.