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Fig. 8 | The Journal of Mathematical Neuroscience

Fig. 8

From: Effects of Synaptic Plasticity on Phase and Period Locking in a Network of Two Oscillatory Neurons

Fig. 8

Fixed points of 2D (3.24) map when P 0 = Q 0 obtained by solving (3.26). The surfaces for the evolution of period and intrinsic phase of the 2D map with synaptic preferred periods P A =150, P B =190 are drawn above and below the z=0 plane denoted by the axes z 1 = P n + 1 and z 2 = ϕ n + 1 , respectively. The equality P n = P n + 1 is satisfied when the surface z 1 = Π 2 (x,y) (colored surface on top) and the plane z 1 =y (gray-scaled plane on top) intersect. Similarly, the equality ϕ n = ϕ n + 1 is satisfied when the surface z 2 = Π 1 (x,y) (colored surface on bottom) intersects the plane z 2 =x (gray-scaled plane on bottom). These intersections yield the two black curves above and below the z=0 plane. The fixed point of the map lies on the intersection of the two fixed point curves. The projections of these curves on the z=0 plane are shown together with the iterates (red dots) approaching the fixed point at their intersection in the order enumerated in the figure

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