The research is devoted to the stability of convective flow in a nonuniformly rotating layer of an electrically conducting fluid in a spiral magnetic field. The stationary and oscillatory modes of magnetic convection are considered depending on the profile of the angular rotation velocity (Rossby number Ro) and on the profile of the external azimuthal magnetic field (magnetic Rossby number Rb). The non-linear dynamic system of Lorentz type equations is obtained by using the Galerkin method. Numerical analysis of these equations has shown the presence of chaotic behavior of convective flows. The criteria of the occurrence of chaotic movements are found. It depends on the parameters of convection: dimensionless numbers of Rayleigh Ra, Chandrasekhar Q, Taylor Ta, and external azimuthal magnetic field with the Rossby magnetic number Rb for Rayleigh (Ro = −1) and Kepler profiles of the angular rotation velocity of the medium.

该研究致力于在螺旋磁场中导电流体的非均匀旋转层中对流的稳定性。根据对角旋转速度的分布（罗斯比数Ro）和外部方位磁场的分布（磁性罗斯比数Rb），可以考虑磁对流的平稳模式和振荡模式。利用Galerkin方法获得了Lorentz型方程的非线性动力学系统。这些方程的数值分析表明对流的混沌行为的存在。找到了发生混沌运动的标准。它取决于对流参数：Rayleigh Ra，Chandrasekhar Q，Taylor Ta， 介质的角旋转速度的轮廓。