  Correlations between azimuthal anisotropy Fourier harmonics $v_{n}$ ($n = 2,
3, 4$) are studied using the events from PbPb collisions at
$\sqrt{s_{_{\mathrm{NN}}}}=2.76$ TeV generated by the HYDJET++ and AMPT models,
and compared to the corresponding experimental results obtained by the ATLAS
Collaboration. The Fourier harmonics $v_{n}$ are measured over a wide
centrality range using the two-particle azimuthal correlation method. The
slopes of the $v_{2}$--$v_{3}$ correlation from both models are in a good
agreement with the ATLAS data. The HYDJET++ model predicts a stronger slope for
the $v_{2}$--$v_{4}$ and $v_{3}$--$v_{4}$ correlations than the ones
experimentally measured, while the results from the AMPT model are in a rather
good agreement with the experimental results. In contrast to the HYDJET++
predictions, the AMPT model predicts a boomerang-like shape in the structure of
the correlations as found in the experimental data.
