论文标题
由于方位角对称性破裂，在磁流失动力的库特流动中的四频溶液
Four-frequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking
论文作者
论文摘要
在差异旋转的球形几何形状中，磁性水力动力学（MHD）的准碘流具有四个基本频率的发生，这是通过一系列分叉的序列来理解，这破坏了由于施加的磁场强度而破坏流动的偶像对称性。这些流源来自不稳定的周期性和准二体状态，其赤道对称性断裂，但具有四倍的方位角对称性。后分叉产生了两个基本频率的对称准二元状态，并进一步分叉到了四频准静脉态，该状态丢失了所有空间对称性。当增加差异旋转并使用$ M $折叠的方位角对称性，$ m $是几个质数的产物时，可能会偏爱这种分叉的情况，并在足够大的磁场上出现。
The occurrence of magnetohydrodynamic (MHD) quasiperiodic flows with four fundamental frequencies in differentially rotating spherical geometry is understood in terms of a sequence of bifurcations breaking the azimuthal symmetry of the flow as the applied magnetic field strength is varied. These flows originate from unstable periodic and quasiperiodic states with broken equatorial symmetry but having four-fold azimuthal symmetry. A posterior bifurcation gives rise to two-fold symmetric quasiperiodic states, with three fundamental frequencies, and a further bifurcation to a four-frequency quasiperiodic state which has lost all the spatial symmetries. This bifurcation scenario may be favoured when differential rotation is increased and periodic flows with $m$-fold azimuthal symmetry, $m$ being product of several prime numbers, emerge at sufficiently large magnetic field.
