Two abnormal magnetic phenomena, i.e., the low-field peak in the second derivative of magnetization and the temperature evolution of four kinds of magnetization processes in a sequence of Normal-->quasi-FOMP-->SOMP-->FOMP (FOMP and SOMP stand for first- and second-order magnetization processes) are observed experimentally in a compound Pr0.8Nd0.2Fe11Ti. An experimental procedure is developed to overcome the difficulty of distinguishing these phenomena. The mechanisms behind these phenomena are also discussed, which are consistent with the predictions of the theoretical calculations of one- and two-sublattice fixed sample models based on the mean-field theory. The systematical study of our previous work on the two-sublattice systems is briefly reviewed. A comprehensible description is given of the starting hypothesis, models, and expectations, and conclusions deduced from these experimental data.