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The order-order magnetic phase transition "helical antiferromagnet - ferromagnet" in GdXY1-X system is believed to arise from the underlying Lifshitz electronic topological transition. This magnetic transition have been examined by means of the specific heat vs. temperature. The observed anomaly in the specific heat, unexpectedly, follows not the ordinary second-order transition behavior but the exotic second-and-a-half-order behavior, characteristic exclusively for the Lifshitz transition in temperature.