Supercritical refers to a specific type of bifurcation in dynamical systems, where a stable equilibrium becomes unstable and a new stable equilibrium emerges as a parameter is varied. In this context, supercritical bifurcations indicate that the system transitions smoothly through the bifurcation point, allowing for the creation of new attractors or solutions as the system evolves. This is significant because it helps understand how small changes can lead to large qualitative changes in the behavior of dynamical systems.
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