Seven new 3D modes of self-organization in DC glow discharges are computed in the framework of the simplest self-consistent model of glow discharge. Some of the modes branch off from and rejoin the 1D mode, while others bifurcate from a 2D or a 3D mode. The patterns associated with computed 3D modes are similar to patterns observed in the experiment. The computed transition from a spot pattern comprising five spots into a pattern comprising a ring spot also was observed in the experiment.
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