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Dendritic domain structures in gold-enveloped cobalt ultrathin films with low perpendicular anisotropy are studied. In such films magnetization reversal undergoing through the dendritic growth of domains was observed. The mechanism and key parameters controlling the dendritic growth of magnetic domains are revealed. It is shown that the dendritic domain structures exhibit general features of dendrite patterns formation : avalanches and tip curvature dependent propagation of fingers.