File:Interface-dynamics-in-planar-neural-field-models-2190-8567-2-9-S6.ogv

English: A movie showing a breather. Breathing spot as shown in snapshots in Figure 10. Panels A and B in the animation correspond to the top and bottom row of that figure, and displayed content and parameters are discussed in its caption. Both activation u and adaptation a start with radius R=2.8 above threshold, the former with a spot solution and the latter with a disc of constant value 0.25g. The spot oscillates with angular frequency ω=1.1, close to the theoretical prediction from linear stability analysis (ω=αg−1≃1.2, with increasing agreement as one approaches the bifurcation point αg=1 from above). The actual domain was 34×34, of which only part is shown, and was discretized by a 1,024×1,024 grid. (AVI 7.7 MB)