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Azimuthal anisotropy correlations between different Fourier harmonics, $v_2$, $v_3$, and $v_4$ measured with two-particle correlations in simulated PbPb collisions at $\sqrt{s_{_{\mathrm{NN}}}}=2.76~$TeV, generated with HYDJET++ and AMPT generator, are presented. The results are compared with data from the ATLAS experiment. Both models are in good agreement with data for $v_2$-$v_3$ correlation. For $v_2$-$v_4$ and $v_3$-$v_4$ correlations AMPT model is still in good agreement with experimental observations, while HYDJET++ gives stronger slopes with respect to the ones observed by the ATLAS collaboration. Further, initial-state fluctuations from HYDJET++ model are measured in PbPb collisions at $\sqrt{s_{_{\mathrm{NN}}}}=5.02~$TeV by comparing $v_2$ results obtained with different Q-cumulant order, $v_2\{2\},v_2\{4\},v_2\{6\},$ and $v_2\{8\}$. The model calculation shows good qualitative and rather good quantitative agreement with results reported by the CMS experiment.
