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| Nonlocal hyperbolic models that are used to describe self-organised biological aggregations (i.e., aggregations that form in the absence of any leader) can display a wide variety of spatial and spatio-temporal patterns: from classical stationary and rotating waves, to more exotic zigzags, ripples and modulated rotating waves. Here we use weakly nonlinear analysis to investigate the codimension-1 and codimension-2 bifurcations that give rise to some of these patterns, and discuss the mechanisms behind the transitions between the patterns. |
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